Percentages Worksheets

Welcome to the percentages math worksheet page where we are 100% committed to providing excellent math worksheets. This page includes Percentages worksheets including calculating percentages of a number, percentage rates, and original amounts and percentage increase and decrease worksheets.

As you probably know, percentages are a special kind of decimal. Most calculations involving percentages involve using the percentage in its decimal form. This is achieved by dividing the percentage amount by 100. There are many worksheets on percentages below. In the first few sections, there are worksheets involving the three main types of percentage problems: calculating the percentage value of a number, calculating the percentage rate of one number compared to another number, and calculating the original amount given the percentage value and the percentage rate.

Most Popular Percentages Worksheets this Week

Calculating the Percent Value of Decimal Amounts and All Percents

Percentage Calculations

percentages math worksheet

Calculating the percentage value of a number involves a little bit of multiplication. One should be familiar with decimal multiplication and decimal place value before working with percentage values. The percentage value needs to be converted to a decimal by dividing by 100. 18%, for example is 18 ÷ 100 = 0.18. When a question asks for a percentage value of a number, it is asking you to multiply the two numbers together.

Example question: What is 18% of 2800? Answer: Convert 18% to a decimal and multiply by 2800. 2800 × 0.18 = 504. 504 is 18% of 2800.

  • Calculating the Percentage Value (Whole Number Results) Calculating the Percentage Value (Whole Number Results) (Percents from 1% to 99%) Calculating the Percentage Value (Whole Number Results) (Select percents) Calculating the Percentage Value (Whole Number Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Whole Number Results) (Percents that are multiples of 25%)
  • Calculating the Percentage Value (Decimal Number Results) Calculating the Percentage Value (Decimal Number Results) (Percents from 1% to 99%) Calculating the Percentage Value (Decimal Number Results) (Select percents) Calculating the Percentage Value (Decimal Number Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Decimal Number Results) (Percents that are multiples of 25%)
  • Calculating the Percentage Value (Whole Dollar Results) Calculating the Percentage Value (Whole Dollar Results) (Percents from 1% to 99%) Calculating the Percentage Value (Whole Dollar Results) (Select percents) Calculating the Percentage Value (Whole Dollar Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Whole Dollar Results) (Percents that are multiples of 25%)
  • Calculating the Percentage Value (Decimal Dollar Results) Calculating the Percentage Value (Decimal Dollar Results) (Percents from 1% to 99%) Calculating the Percentage Value (Decimal Dollar Results) (Select percents) Calculating the Percentage Value (Decimal Dollar Results) (Percents that are multiples of 5%) Calculating the Percentage Value (Decimal Dollar Results) (Percents that are multiples of 25%)

Calculating what percentage one number is of another number is the second common type of percentage calculation. In this case, division is required followed by converting the decimal to a percentage. If the first number is 100% of the value, the second number will also be 100% if the two numbers are equal; however, this isn't usually the case. If the second number is less than the first number, the second number is less than 100%. If the second number is greater than the first number, the second number is greater than 100%. A simple example is: What percentage of 10 is 6? Because 6 is less than 10, it must also be less than 100% of 10. To calculate, divide 6 by 10 to get 0.6; then convert 0.6 to a percentage by multiplying by 100. 0.6 × 100 = 60%. Therefore, 6 is 60% of 10.

Example question: What percentage of 3700 is 2479? First, recognize that 2479 is less than 3700, so the percentage value must also be less than 100%. Divide 2479 by 3700 and multiply by 100. 2479 ÷ 3700 × 100 = 67%.

  • Calculating the Percentage a Whole Number is of Another Whole Number Calculating the Percentage a Whole Number is of Another Whole Number (Percents from 1% to 99%) Calculating the Percentage a Whole Number is of Another Whole Number (Select percents) Calculating the Percentage a Whole Number is of Another Whole Number (Percents that are multiples of 5%) Calculating the Percentage a Whole Number is of Another Whole Number (Percents that are multiples of 25%)
  • Calculating the Percentage a Decimal Number is of a Whole Number Calculating the Percentage a Decimal Number is of a Whole Number (Percents from 1% to 99%) Calculating the Percentage a Decimal Number is of a Whole Number (Select percents) Calculating the Percentage a Decimal Number is of a Whole Number (Percents that are multiples of 5%) Calculating the Percentage a Decimal Number is of a Whole Number (Percents that are multiples of 25%)
  • Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Percents from 1% to 99%) Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Select percents) Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Percents that are multiples of 5%) Calculating the Percentage a Whole Dollar Amount is of Another Whole Dollar Amount (Percents that are multiples of 25%)
  • Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Percents from 1% to 99%) Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Select percents) Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Percents that are multiples of 5%) Calculating the Percentage a Decimal Dollar Amount is of a Whole Dollar Amount (Percents that are multiples of 25%)

The third type of percentage calculation involves calculating the original amount from the percentage value and the percentage. The process involved here is the reverse of calculating the percentage value of a number. To get 10% of 100, for example, multiply 100 × 0.10 = 10. To reverse this process, divide 10 by 0.10 to get 100. 10 ÷ 0.10 = 100.

Example question: 4066 is 95% of what original amount? To calculate 4066 in the first place, a number was multiplied by 0.95 to get 4066. To reverse this process, divide to get the original number. In this case, 4066 ÷ 0.95 = 4280.

  • Calculating the Original Amount from a Whole Number Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Whole Numbers ) Calculating the Original Amount (Select percents) ( Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 5%) ( Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 25%) ( Whole Numbers )
  • Calculating the Original Amount from a Decimal Number Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Decimals ) Calculating the Original Amount (Select percents) ( Decimals ) Calculating the Original Amount (Percents that are multiples of 5%) ( Decimals ) Calculating the Original Amount (Percents that are multiples of 25%) ( Decimals )
  • Calculating the Original Amount from a Whole Dollar Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Dollar Amounts and Whole Numbers ) Calculating the Original Amount (Select percents) ( Dollar Amounts and Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 5%) ( Dollar Amounts and Whole Numbers ) Calculating the Original Amount (Percents that are multiples of 25%) ( Dollar Amounts and Whole Numbers )
  • Calculating the Original Amount from a Decimal Dollar Result and a Percentage Calculating the Original Amount (Percents from 1% to 99%) ( Dollar Amounts and Decimals ) Calculating the Original Amount (Select percents) ( Dollar Amounts and Decimals ) Calculating the Original Amount (Percents that are multiples of 5%) ( Dollar Amounts and Decimals ) Calculating the Original Amount (Percents that are multiples of 25%) ( Dollar Amounts and Decimals )
  • Mixed Percentage Calculations with Whole Number Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Whole Numbers ) Mixed Percentage Calculations (Select percents) ( Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Whole Numbers )
  • Mixed Percentage Calculations with Decimal Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Decimals ) Mixed Percentage Calculations (Select percents) ( Decimals ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Decimals ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Decimals )
  • Mixed Percentage Calculations with Whole Dollar Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Dollar Amounts and Whole Numbers ) Mixed Percentage Calculations (Select percents) ( Dollar Amounts and Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Dollar Amounts and Whole Numbers ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Dollar Amounts and Whole Numbers )
  • Mixed Percentage Calculations with Decimal Dollar Percentage Values Mixed Percentage Calculations (Percents from 1% to 99%) ( Dollar Amounts and Decimals ) Mixed Percentage Calculations (Select percents) ( Dollar Amounts and Decimals ) Mixed Percentage Calculations (Percents that are multiples of 5%) ( Dollar Amounts and Decimals ) Mixed Percentage Calculations (Percents that are multiples of 25%) ( Dollar Amounts and Decimals )

Percentage Increase/Decrease Worksheets

percentages math worksheet

The worksheets in this section have students determine by what percentage something increases or decreases. Each question includes an original amount and a new amount. Students determine the change from the original to the new amount using a formula: ((new - original)/original) × 100 or another method. It should be straight-forward to determine if there is an increase or a decrease. In the case of a decrease, the percentage change (using the formula) will be negative.

  • Percentage Increase/Decrease With Whole Number Percentage Values Percentage Increase/Decrease Whole Numbers with 1% Intervals Percentage Increase/Decrease Whole Numbers with 5% Intervals Percentage Increase/Decrease Whole Numbers with 25% Intervals
  • Percentage Increase/Decrease With Decimal Number Percentage Values Percentage Increase/Decrease Decimals with 1% Intervals Percentage Increase/Decrease Decimals with 5% Intervals Percentage Increase/Decrease Decimals with 25% Intervals
  • Percentage Increase/Decrease With Whole Dollar Percentage Values Percentage Increase/Decrease Whole Dollar Amounts with 1% Intervals Percentage Increase/Decrease Whole Dollar Amounts with 5% Intervals Percentage Increase/Decrease Whole Dollar Amounts with 25% Intervals
  • Percentage Increase/Decrease With Decimal Dollar Percentage Values Percentage Increase/Decrease Decimal Dollar Amounts with 1% Intervals Percentage Increase/Decrease Decimal Dollar Amounts with 5% Intervals Percentage Increase/Decrease Decimal Dollar Amounts with 25% Intervals

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Percents Workbook

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Percents Worksheets

Math worksheets: percents.

These worksheets provide practice in common calculations involving percents , including changing decimals to and from percents, finding percentages of numbers and fining how many percent a number is of another number.

percentages math worksheet

Sample Grade 6 Percents Worksheet

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Percent Worksheets

This ensemble of printable percentage worksheets is tailor-made for students of grade 6, grade 7, and grade 8. A plethora of exercises like finding the percent of the shaded region, finding percent of a whole numbers and decimals, comparing quantities, well-researched word problems and a lot more are available here. The pdf worksheets are split into metric and customary units to enable convenient downloads. Access some of these worksheets for free!

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Percent of the Shaded Region: Blocks

Percent of the Shaded Region: Blocks

Engage in this series of base 10 blocks worksheets that contain nine problems per page. Discern and count the shaded squares to determine the percentage of the shaded area.

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Percent of the Shaded Region: Shapes

Percent of the Shaded Region: Shapes

Keenly observe the shaded region of the shapes provided. Find the percentage of the shaded area in each problem.

Percent of a Whole Number

Percent of a Whole Number

Each 6th grade worksheet contains 14 problems calculating the percentage of whole numbers. Use the answer keys to verify your responses.

Percent: Units of Measurement with Word Problems

Percent: Units of Measurement with Word Problems

Calculate the amount for each base value in these worksheets that contain units of measurement. Also, solve the percent word problems based on interesting real-life scenarios.

Percent of a Decimal Number

Percent of a Decimal Number

Find the value that constitutes an equivalent percentage for each decimal and round them to the nearest hundredth.

Comparing Quantities: with Word Problems

Comparing Quantities: with Word Problems

Work out the percentages. Then, compare them and insert the appropriate <, > or = symbols in the boxes. Word problems are also furnished to help learners grasp the concept of comparing quantities.

Percent on a Number Line

Percent on a Number Line

Based on the number line models provided, fill in the boxes with either the appropriate percentages or numbers. These printable worksheets form a great visual aid for 6th grade and 7th grade students in understanding percentages.

Find the Value of the Unknowns

Find the Value of the Unknowns

Read each question carefully to find the unknown percentages, base values or amounts. Round your answers to the nearest hundredth.

Percent of Increase or Decrease: with Word Problems

Percent of Increase or Decrease: with Word Problems

Based on the original amount, find the ratio of change in quantity. Then, calculate the percentage of increase or decrease. Each worksheet includes a number of word problems suitable for 7th grade and 8th grade students.

Find the New Amount: Percent of Increase or Decrease

Find the New Amount: Percent of Increase or Decrease

Find the increase or decrease in amount using the given percentage. Add or subtract the amount so derived to determine the change in quantity. A few word problems are incorporated here for variety.

Percent Error

Percent Error

There's no room for error in our enigmatic pdf worksheets on calculating the percent error in an estimate! Practice finding the difference between a guess and the exact value in the form of percentage in this section.

Convert between Fractions, Decimals, Percent Worksheets

Convert between Fractions, Decimals, Percent Worksheets

Engage this set of printable worksheets that include an assortment of exercises based on conversion between fractions, decimals and percent.

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Percent Worksheets

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Key to Percents workbook series

Key to Percents Workbooks

Key to Percents first emphasizes mental computation and estimation skills--since most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.

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Percentages Worksheets With Answers

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></center></p><h2>Percentages Worksheets With Answers</h2><p>Math Worksheets / Percentages Worksheets With Answers</p><p>Knowing how to calculate percentages is an integral part of mathematics and is a skill used regularly in later life, so your student must understand how to work out percentage calculations . At Cazoom Math we have a plethora of math percentage worksheets at your disposal, so whether you need a percentage of amounts worksheet or a percentage increase and decrease worksheet we have you covered.</p><h2>Math Percentages Worksheets For Kids</h2><p>We have no doubt that you will find percentage worksheets a real help when teaching your child or pupil to work out basic and more advanced percentage calculations. In fact, there’s a high percentage that with a Cazoom Math worksheet your student will ace their way through percentages.</p><h2>The Importance of Percentages in Everyday Life</h2><p>All areas of math shape our everyday lives in some way or another, but none perhaps more so than percentages.</p><p>Mastering percentages at school helps students understand many aspects of how the world works, and prepares them for adult life. When applying for a credit card or loan , you make repayments with a percentage interest rate. When saving money, the bank will pay you interest at a percentage rate. When shopping, prices are reduced by a certain percentage of the cost. These are just some of the examples where percentages are used in daily life, but there are so many more instances where it is beneficial to have a good knowledge of percentages.</p><h2>Real-Life Examples Aid Students’ Understanding of Percentages</h2><p>Math percentage worksheets are a great tool for helping children master the essential skills needed to progress through their math education, as well as being beneficial to their understanding of the world .</p><p>Using quality worksheets on percentages either in the classroom or at home can help students grasp this essential element of math. Worksheets using real-life examples have the added benefit of teaching children about the applications of percentages in everyday life and helping them to understand just how important percentages are and how easy it is to solve word problems.</p><p><center><img style=

What is a percentage?

A percentage is a number or ratio representing a fraction of 100, and it is denoted by the symbol %.

How to calculate the percentage of a number?

Calculating the percentage of a number can be very easy. The number that you need to convert into percentage can be given to you in two ways, fraction and decimal.

1. Percentages and decimals

The decimal format is easier to calculate. Converting a decimal is simple as all you need to do is multiply it with 100. Example: To covert 0.77 to a percent, simply multiply 0.77 by 100, to get a result of 77%

2. Percentages and fractions

If you are given a fraction, first you need to divide the top number with the bottom number and then multiply it with a 100 to get the percentage. 

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How to Do Percentage Calculations? (+FREE Worksheet!)

Want to find a percent of a number? You can calculate percentages in a few simple and easy steps.

How to Do Percentage Calculations? (+FREE Worksheet!)

Related Topics

  • How to Find Percent of Increase and Decrease
  • How to Solve Percent Problems
  • How to Find Discount, Tax, and Tip
  • How to Solve Simple Interest Problems

Step by step guide to solving percentage problems

  • Percent is a ratio of a number and \(100\). It always has the same denominator, \(100\). The percent symbol is \(\%\).
  • Percent is another way to write decimals or fractions. For example: \(40\%=0.40=\frac{40}{100}=\frac{2}{5}\)
  • Use the following formula to find part, whole, or percent: \(\color{blue}{part =\frac{percent}{100} \ × \ whole }\)

Percentage Calculations – Example 1:

What is \(15\%\) of \(50\)?

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\). \(part\) \(=\frac{15}{100} \ × \ 50 →\) \(part\) \(=\frac{15 \ × \ 50}{100}→\) \(part\) \(=\frac{75}{10}→\) \(part\) \(=7.5 \)

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Percentage calculations – example 2:.

What is \(30\%\) of \(35\)?

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\). \(part\) \(=\frac{30}{100} \ × \ 35 →\) \(part\) \(=\frac{30 \ × \ 35}{100}→\) \(part\) \(=\frac{105}{10}→\) \(part\) \(=10.5 \)

Percentage Calculations – Example 3:

What is \(10\%\) of \(45\)?

Use the this formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\). \(part\) \(=\frac{10}{100}×45 →part\)\(=\frac{1}{10}×45\)→\(part\) \(=\frac{45}{10}→\) \(part\) \(=4.5\)

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Percentage calculations – example 4:.

What is \(15\%\) of \(24\)?

Use the percent formula: \(\color{ blue }{part =\frac{percent}{100} \ × \ whole }\). \(part\) \(=\frac{15}{100}×24 →\) \(part\) \(=\frac{15 \ × \ 24}{100}\)→ \(part\) \(=\frac{360}{100} →\) \(part\) \(=3.6 \)

Exercises for Doing Percentage Calculations

Calculate the percentages..

  • \(\color{blue}{50\% \ of \ 25}\)
  • \(\color{blue}{ 80\% \ of \ 15 }\)
  • \(\color{blue}{ 30\% \ of \ 34 }\)
  • \(\color{blue}{ 70\% \ of \ 45 }\)
  • \(\color{blue}{ 10\% \ of \ 0 }\)
  • \(\color{blue}{ 80\% \ of \ 22 }\)

Download Percentage Calculations Worksheet

  • \(\color{blue}{12.5}\)
  • \(\color{blue}{12}\)
  • \(\color{blue}{10.2}\)
  • \(\color{blue}{31.5}\)
  • \(\color{blue}{0}\)
  • \(\color{blue}{17.6}\)

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Percentage Worksheets

A percentage is a number or ratio expressed as a fraction of 100. A fraction is made up of two parts: a numerator and a denominator, representing how many parts we have out of the total number of parts.

The percentage has no measurement. It is a dimensionless number. Percentages worksheets help students to practice and compute the per cent value by multiplying the numeric value of the ratio by 100. In earlier days, computations were made in fractions in multiples of 1/100. Computation with fractions was equivalent to computing percentages.

Benefits of Percentages Worksheets

Percentage worksheets are useful on a day-to-day basis. Percentages are a useful way of comparing fractions with different denominators. It helps in understanding the financial aspects of everyday life. Percentages are widely used in areas like shops for discount, rate of inflation, bank interest rates and statistics. Percentages can be compared more easily than fractions.

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Percent Worksheets

Use these printable worksheets to teach students about percentages. Convert from fractions and decimals to percents, solve word problems, and more.

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Percentage Worksheets

Created: October 31, 2022

Last updated: June 6, 2023

A percentage is an essential aspect of mathematics. The knowledge of this concept helps students grasp the monetary realities of everyday life — discounts at stores, inflation rates, bank interest rates, and statistical averages.

When comparing fractions with varying denominators, percentages might be a helpful metric. Learning percentages can be smoother with a percentages worksheet. Learn more about this helpful resource below.

Percentage Worksheet

Percentage Worksheet

Percents Worksheet

Percents Worksheet

Finding Percentages Worksheet

Finding Percentages Worksheet

Fun Percentage Worksheets

Fun Percentage Worksheets

Application Of Percents Worksheet

Application Of Percents Worksheet

Calculating Percentages Worksheet

Calculating Percentages Worksheet

Free Percentage Worksheet

Generally, numbers expressed as percentages are more straightforward compared to those expressed as fractions. In mathematics, a percentage is a ratio or number expressed as a fraction of 100. Two components comprise a fraction: the numerator and the denominator, representing an entire part.

A percentage is dimensionless; it has no unit of measurement. A percent worksheet provides students with experience in calculating the percent value by multiplying the numerical value of the ratio by 100. In the past, calculations were done using multiples of 1/100.

Top professionals design Brighterly’s percentages worksheets to ensure that the tools make learning seamless for young scholars. With these worksheets, it is only a matter of time before your kids become experts in calculating percentages.

Benefits of Percent Worksheets

There are numerous benefits of studying with percentage worksheets. Below are some of them.

Math for Kids

Support of independent study

Students will find pleasure in studying independently with a worksheet. Usually, worksheets contain answers to the questions; hence, kids will know when they are wrong. These answers will further quicken learning, relearning, and mastery of the topic.

Effective time management

Students can improve their time management skills. The ability to quickly and accurately solve mathematical problems is crucial. Also, students will promptly ascertain areas they need more understanding of by working through practice problems in the worksheets.

Everyday application

A wide variety of situations call for an understanding of percentages. By studying with a worksheet, students will have sufficient knowledge of percentages and the ways to apply them in everyday life.

Percentage Worksheets PDF

Percentages Worksheets

Percent Worksheets

Percentages Worksheet

Percent Worksheet

Printable Percentage Worksheets

You can download printable percentage worksheets from the Brighterly’s website to allow your kids to study independently. The printable version of these worksheets is more accessible, hence easier to use.

More Percents Worksheets

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Jessica is a a seasoned math tutor with over a decade of experience in the field. With a BSc and Master’s degree in Mathematics, she enjoys nurturing math geniuses, regardless of their age, grade, and skills. Apart from tutoring, Jessica blogs at Brighterly. She also has experience in child psychology, homeschooling and curriculum consultation for schools and EdTech websites.

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Percent Worksheets

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Helping with Math

Helping with Math

Percentages

This section includes guidance on  how to calculate percentage  values. Note: Be sure to discuss real-life uses of percentages with your child. Good examples include percentage used for increases in pay/ wages, for interest from savings at a bank, and for results in exams at school.

There are several different types of task involving percentages. In addition to converting between fractions , decimals , and percent, there are problems requiring any one of three unknowns to be found as the examples below show:

  • Find the percentage of a quantity e.g. What is 35% of 180?
  • Expressing a quantity as a percent of another. e.g. 12 is what percentage of 18?
  • Finding the whole. e.g. 35 is 70% of a number. What is the number?

Calculating Percentages in Steps Worksheet

Calculating percentages worksheet (in 2 steps), percentage worksheet generator, percentages: calculating total from percent, percentages: fractions to percent, percentages: decimals to percent, percentages: calculating percent – 2, percentages: calculating percent – 1.

The mini-lessons below will show how these types of problems can be solved.

Percentage Mini-lessons

The three short mini-lessons above are on calculating with percent. Lesson #1 is an introduction to percent, lesson #2 shows how to calculate a percentage e.g. what is 20% of 70? Lesson #3 shows both how to find a percent e.g. What percent is 25 out of 40? and also how to calculate the base e.g. If 30% of an amount is 45, what is the amount?

What else is in the percentages section?

You might also like to  try this “How much is shaded?” target game  for a bit of practice with percent.

Choose the resources you need from either the links above or from the top menu options.

Keep the points below in mind when you are tutoring your children on percent. Percent is a very commonly used mathematical concept in everyday life and it has also proven to be a hard concept for many to grasp and understand.

Teaching Percent

Instruction should focus on what percent is as opposed to just looking at procedures and the quickest way to compute it. Similarly, there should be a move away from just imparting the knowledge that 50% is one-half. The importance of the base of 100 should be introduced early and often.

The language of percent is extremely important. Students need to understand proportion and must be able to express this understanding using the language of percent. They must identify implicit referents. e.g. before solving a problem they must ask themselves, “30% of what?”

Lots of graphical representations should be used as examples to help develop students’ proportional reasoning skills. These should use real-life examples whenever possible that are relevant to students. e.g. sports performance as opposed to interest rates.

Typical errors and their causes

The language surrounding percent can often be difficult for students. It often needs to be very precise. A very small change in wording can be associated with a completely different type of situation and problem. Questions are often not explicitly complete and students have to infer what the question refers to. e.g. “The unemployment rate is 9% .” not “The unemployment rate is 9% of the working-aged population.”

The issues above cause students to make errors such as those below:

  • Ignoring the % symbol and then adding it back into the solution arbitrarily
  • Incorrectly applying conversion rules e.g. since 45% = 0.45, then 7% = .7 or 140% = .14
  • A general tendency to manipulate numerals rather than to apply reasoned thinking
  • Seeing the % symbol as a label in the same way as units are e.g. 6m for 6 meters

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Percentage Increase and Decrease Worksheets

Welcome to our Percentage Increase and Decrease Worksheets page. In this area, we have a selection of worksheets involving finding percentage increases and decreases and working out percentage change.

There are also links to our handy Percentage Increase Calculator and also our How to Find Percentage Change support page to help you with these skills.

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We have a wide range of worksheets on this page to help you learn and practice working with percentage increases and decreases.

Before you learn about percentage increases and decreases, you need to know how to find the percentage of a number.

The worksheets available on this page include:

  • finding the final amount after a percentage increase or decrease;
  • finding the percentage change between two different amounts;
  • solving percentage increase and decrease word problems.
  • solving percentage change word problems

Quicklinks to ...

  • How to find the Percentage Increase and Decrease
  • Percentage Increase Calculator
  • Percentage Increase and Decrease Examples
  • Percentage Change Worksheets
  • Percentage Increase, Decrease and Change Worksheets
  • More related Math resources

Find the Percentage Increase and Decrease Online Quiz

How to find the percentage change.

The percentage change is when we know the initial value and the final value and we need to find the percentage increase or decrease.

We have created a support page to help you understand how to find the percentage change.

There are some worked examples and clear step-by-step instructions on this page.

  • How to Calculate Percentage Change

How to Find the Percentage Increase & Decrease

If we know the initial amount, and we need to find the final amount after a percentage increase or decrease, we just need to follow these two simple steps:

  • Step 1) Work out the percentage of the original amount.
  • Step 2a) If it is a percentage increase , then add this amount to the original amount.
  • Step 2b) If it is a percentage decrease , then subtract this amount from the original amount.

We have now found our final amount after the percentage increase or decrease.

Percentage Increase and Decrease Worked Examples

Example 1) a laptop usually costs $750. it is reduced by 15% in a sale. what is the sale price.

Step 1) Work out the percentage.

15% of $750 = $112.50

Step 2) Subtract the amount from the original price.

$750 - $112.50 = $637.50

The sale price of the laptop is $637.50.

Example 2) I have $6000 which I leave in a savings account for a year. The interest rate is 3%. How much money will I have at the end of a year?

3% of $6000 = $180

Step 2) Add the amount to the original price.

$6000 + $180 = $6180

At the end of a year, I have $6180.

Example 3) A bag of rice weighs 40 ounces. A larger bag weighs 35% more. How much does the larger bag weigh?

35% of 40 = 14

40 + 14 = 54

The larger bag weighs 54 ounces.

Example 3) An uncut version of a film lasts 150 minutes. The released version lasts 18% less time. How long does the released version last?

18% of 150 = 27

150 - 27 = 123

The released version lasts 123 minutes.

Here you will find a selection of worksheets on percentage increase and decrease.

We have split the worksheets into 3 different sections:

  • Set 1) Percentage Increase and Decrease - finding the final amount when a percentage and an initial amount are given;
  • Set 2) Percentage Change worksheets - finding the percentage change between an intial amount and a final amount are given;
  • Set 3) Percentage Increase / Decrease / Change - finding the final amount after percentage increases and decreases, as well as the percentage change.

The sheets are graded so that the easier ones are at the top.

Set 1) Percentage Increase and Decrease Worksheets

These worksheets involve finding a final amount, when an initial amount and a percentage increase or decrease are given.

  • Percentage Increase and Decrease Worksheet 1
  • PDF version
  • UK Version PDF
  • Percentage Increase and Decrease Worksheet 2
  • Percentage Increase and Decrease Worksheet 3
  • Percentage Increase and Decrease Worksheet 4
  • Percentage Increase and Decrease Word Problems 1

Set 2) Percentage Change Worksheets

  • Find the Percentage Change Sheet 1
  • Find the Percentage Change Sheet 2
  • Percentage Change Word Problems Sheet 1
  • Percentage Change Word Problems Sheet 2

Set 3) Percentage Increase, Decrease & Change Worksheets

  • Percentage Increase, Decrease & Change Sheet 1
  • Percentage Increase, Decrease & Change Sheet 2
  • Percentage Increase, Decrease & Change Word Problems 1
  • Percentage Increase, Decrease & Change Word Problems 2

More Recommended Math Resources

Take a look at some more of our worksheets similar to these.

This is the calculator to use if you want to find a percentage increase or decrease.

There are two different calculators on the page:

  • one calculator will work out the percentage change given an initial and final amount;
  • the other calculator will find the final amount given a percentage increase (or decrease) and an initial amount.

The calculator will not just find the answer for you, but also show you the working out for each step.

Percentage Increase Calculator image

Reverse Percentage Calculator

Sometimes you are told what the percentage increase/decrease is, and you are also told the final number.

Your task is then to find the original number before the percentage increase or decrease.

Our reverse percentage calculator will help you to find the original number.

Reverse Percentage Calculator image

  • Reverse Percentages Calculator

Percentage Word Problems

The sheets in this area are at a harder level than those on this page.

The problems involve finding the percentage of numbers and amounts, as well as finding the amounts when the percentage is given.

  • Percentage Word Problems 5th Grade
  • 6th Grade Percent Word Problems

Percentage of Money Amounts

Often when we are studying percentages, we look at them in the context of money.

The sheets on this page are all about finding percentages of different amounts of money.

  • Money Percentage Worksheets

Percentage of Number Worksheets

If you would like some practice finding the percentage of a range of numbers, then try our Percentage Worksheets page.

You will find a range of worksheets starting with finding simple percentages such as 1%, 10% and 50% to finding much trickier ones.

  • Percentage of Numbers Worksheets

Converting Percentages to Fractions

To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.

Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.

The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

Convert fractions to percentages Picture

  • Converting Fractions to Percentages

Convert Percent to Fraction Image

  • Convert Percent to Fraction

Online Percentage Practice Zone

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

You can choose your level of difficulty and test yourself with immediate feedback!

  • Online Percentage Practice

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at finding percentage increasee and decreases from different values.

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Free Printable Percents Worksheets for 7th Grade

Percents made accessible! Discover a vast collection of free printable math worksheets tailored for Grade 7 students, designed to enhance their understanding of percentages. Dive into the world of math with Quizizz!

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Percents and percent problems - Printable Percents Worksheets Grade 7 - Quizizz

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Explore printable Percents worksheets for 7th Grade

Percents worksheets for Grade 7 are an essential resource for teachers looking to help their students master the concepts of Math, Percents, Ratios, and Rates. These worksheets provide a variety of exercises and problems that cover topics such as calculating percentages, finding equivalent ratios, and determining rates. By incorporating these worksheets into their lesson plans, teachers can ensure that their Grade 7 students have a strong foundation in these critical mathematical concepts. Furthermore, these percents worksheets for Grade 7 are designed to be engaging and challenging, keeping students interested in the material while also promoting a deeper understanding of the subject matter.

In addition to traditional worksheets, teachers can also utilize Quizizz, an online platform that offers interactive quizzes and games related to Math, Percents, Ratios, and Rates for Grade 7 students. This platform allows teachers to create customized quizzes and assignments, making it easy to incorporate the concepts covered in percents worksheets for Grade 7 into a more interactive and engaging format. Quizizz also provides teachers with valuable data and insights on student performance, allowing them to identify areas where students may need additional support or practice. By combining the use of percents worksheets for Grade 7 with the innovative tools and resources offered by Quizizz, teachers can create a comprehensive and effective learning experience for their students.

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  2. Finding Percentage Worksheets

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  3. 29 Percentage Worksheets for Grade 5

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  4. Maths Worksheets Grade 5 Chapter Percentage

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  5. Practice Calculating Percent Worksheets

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  6. Calculate the Percentage

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VIDEO

  1. How to Calculate Percentage

  2. Percentages made easy 👌

  3. O LEVELS(4024) / IGCSE(0580) P1 DAILY MATHS PERCENTAGES WORKSHEET

  4. Easy percentages math trick

  5. 150 PERCENT TRICK 🤯

  6. Percentages || #shortvideo

COMMENTS

  1. Percentages Worksheets

    Answer: Convert 18% to a decimal and multiply by 2800. 2800 × 0.18 = 504. 504 is 18% of 2800. Calculating the Percentage Value (Whole Number Results)

  2. Percents Worksheets

    Percents Worksheets Math worksheets: Percents These worksheets provide practice in common calculations involving percents, including changing decimals to and from percents, finding percentages of numbers and fining how many percent a number is of another number. Sample Grade 6 Percents Worksheet What is K5?

  3. Finding Percentage Worksheets

    50% = 0.5 = ½ 25% = 0.25 = ¼ 75% = 0.75 = ¾ 10% = 0.1 = 1 ⁄ 10 1% = 0.01 = 1 ⁄ 100 Percentage Worksheets How to work out Percentages of a number This page will help you learn to find the percentage of a given number. There is also a percentage calculator on the page to support you work through practice questions.

  4. Percent Worksheets

    This ensemble of printable percentage worksheets is tailor-made for students of grade 6, grade 7, and grade 8. A plethora of exercises like finding the percent of the shaded region, finding percent of a whole numbers and decimals, comparing quantities, well-researched word problems and a lot more are available here.

  5. Percent Worksheets

    Converting Between Percents, Decimals & Fractions Percent Worksheets Detailed Description for All Percent Worksheets Table of Common Percents Percent Worksheets These percent worksheets are great for learning commonly recognized percents and their fraction and decimal equivalents.

  6. Free printable percentage of number worksheets

    Worksheets about percentages (for example, find what percentage 78 is of 123) Worksheets about converting percents into decimals (for example, write 56% as a decimal or write 0.392 as a percent) Free lessons on percent topics: Percent - the basic concept of percent Percentage of a number using mental math

  7. Percent Worksheets

    Percent Worksheets Worksheets » Percent Worksheet Example Beginner 10% of 30 = 3 Easy 25% of 10 = 2.5 Medium 30% of 19 = 5.7 Hard 32% of 92 = 29.44 Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.

  8. Free printable percentage worksheets

    This generator makes worksheets where the student calculates a percentage of a number, finds the percentage when the number and the part are given, or finds the number when the percentage and the part are given. You can make the worksheets either in PDF or html formats — both are easy to print.

  9. Percentages Worksheets With Answers

    1. Percentages and decimals The decimal format is easier to calculate. Converting a decimal is simple as all you need to do is multiply it with 100. Example: To covert 0.77 to a percent, simply multiply 0.77 by 100, to get a result of 77% 2. Percentages and fractions

  10. Percentages Math Worksheets

    Percentages Worksheets & Study Resources: A percentage is generally defined as a number or ratio represented in the form of fractions of 100. The symbol used to represent percentage is % and can also be expressed as a fraction. In another explanation, a percentage is defined as how much of one quantity is to the whole quantity and is multiplied ...

  11. Percentages Practice Questions

    Practice Questions Previous: Foundation Solving Quadratics Next: Ratio Videos The Corbettmaths Practice Questions on finding a percentage of an amount.

  12. How to Do Percentage Calculations? (+FREE Worksheet!)

    (+FREE Worksheet!) Want to find a percent of a number? You can calculate percentages in a few simple and easy steps. Related Topics. ... 8th Grade K-PREP Math Worksheets: FREE & Printable; FREE 8th Grade NYSE Math Practice Test; Accuplacer Math Worksheets: FREE & Printable;

  13. Percentage Worksheets

    The percentage has no measurement. It is a dimensionless number. Percentages worksheets help students to practice and compute the per cent value by multiplying the numeric value of the ratio by 100. In earlier days, computations were made in fractions in multiples of 1/100. Computation with fractions was equivalent to computing percentages.

  14. Percent Worksheets

    Use these printable worksheets to teach students about percentages. Convert from fractions and decimals to percents, solve word problems, and more. Percents (Basic) Converting Decimals, Fractions, and Percents (Basic) FREE Convert the fractions and decimals into percents and complete the table. All fractions are out of 100. 5th through 7th Grades

  15. Percentage Worksheets

    Teacher Printables Holidays Foreign Language Home > Math > Percentages Percentages tell us how much of a whole piece that we have. It is similar to when your brother or sister cuts a piece of their own birthday cake. The bigger the piece, the greater the percentage of cake that they will eat.

  16. Free Printable Percentage Worksheets [PDFs] Brighterly

    A percent worksheet provides students with experience in calculating the percent value by multiplying the numerical value of the ratio by 100. In the past, calculations were done using multiples of 1/100. ... Jessica is a a seasoned math tutor with over a decade of experience in the field. With a BSc and Master's degree in Mathematics, she ...

  17. Percentages

    Percentages Math Worksheets Go Ad Free! Core Math Worksheets Addition Worksheets Subtraction Worksheets Multiplication Worksheets Division Worksheets Fact Family Worksheets Long Division Worksheets Negative Numbers Exponents Worksheets Order of Operations Worksheets Fraction Worksheets Fractions Worksheets Graphic Fractions Equivalent Fractions

  18. Percent Worksheets

    Percent Worksheets Our converting forms worksheets are the best on the internet! Not only are they free, but they provide an invaluable aid in converting numbers from one form to another.

  19. Percentages Math resources & worksheet generators

    Percentage Mini-lessons. The three short mini-lessons above are on calculating with percent. Lesson #1 is an introduction to percent, lesson #2 shows how to calculate a percentage e.g. what is 20% of 70? Lesson #3 shows both how to find a percent e.g. What percent is 25 out of 40? and also how to calculate the base e.g.

  20. PDF Solve each problem. Round to the nearest tenth or tenth of a percent

    P i MMRa 3dxe S DwRilt ghE IqnDfLiAnGiut weR 1Azlugve DbUrga b z1H.a Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Percent Problems Date_____ Period____ Solve each problem. Round to the nearest tenth or tenth of a percent. 1) What percent of 29 is 3? 10.3%

  21. Percentages free online worksheet

    Percentages alloamaths Member for 2 years 9 months Age: 11-18 Level: l3 Language: English (en) ID: 2136271 08/09/2022 Country code: GB Country: United Kingdom School subject: Math (1061955) Main content: Percentage (2012495) percentages Loading ad... Share / Print Worksheet Download PDF Finish! Loading ad... percentages

  22. Percentage Increase and Decrease Worksheets

    Step 1) Work out the percentage. 15% of $750 = $112.50. Step 2) Subtract the amount from the original price. $750 - $112.50 = $637.50. The sale price of the laptop is $637.50. Example 2) I have $6000 which I leave in a savings account for a year. The interest rate is 3%.

  23. Free Printable Percents Worksheets for 7th Grade

    Discover a vast collection of free printable math worksheets tailored for Grade 7 students, designed to enhance their understanding of percentages. Dive into the world of math with Quizizz! grade 7 Percents Recommended Topics for you Converting Percents, Decimals, and Fractions Percent Problems Percents & Percent Change 20 Q 6th - 7th Percents 13 Q