percent of change homework 5

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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.

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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.

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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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