Welcome to the our Reverse Percentages Calculator.

Here you will our reverse percentage calculator which will help you to find the original number after a percentage increase of decrease.

This calculator will help you to find the original number, when you have been given the final number and the percentage of the original number that made it.

E.g. if you know that 70% of a number is 210 then it will find the original number. (Answer: 300)

Simply enter the final number in the first box and the percentage in the 2nd box.

Click on the 'Find Original Number' box to work out what the original number was!

Answers are rounded to 2dp.

This calculator will help you to find the original number, when you have been given the final number and the percentage increase or decrease.

Example: if a toy in a sale marked 20% off costs $210, what is the original price. (Answer: $262.50)

Simply enter the final number in the first box and the percentage in the 2nd box and whether it was increased or decreased.

Click on the 'Find Original Number' box to work out what the original number was!

Answers are rounded to 2dp.

Read on below if you want to find out how to find out reverse percentages work.

Reverse percentages are used when the percentage and the final number is given, and the original number needs to be found.

Step 1) Get the percentage of the original number.

If the percentage is an increase then add it to 100, if it is a decrease then subtract it from 100.

Step 2) Multiply the final number by 100.

Step 3) Divide this number by the percentage.

Example 1) 35% of a number is 320. What is the number?

Step 1) The percentage of the original number is 35%

Step 2) 320 x 100 = 32,000

Steo 3) 32,000 ÷ 35 = 914.2857...

Answer: the original number was 914.29 to 2dp.

You can use calculator 1 to solve this problem.

Example 2) A car is reduced by 20% in price to $40,000. What was the original price?

Step 1) The percentage of the original number is 100 - 20 = 80%

Step 2) 40,000 x 100 = 4,000,000

Step 3) 4,000,000 ÷ 80 = 50,000

Answer: the original car cost $50,000

You can use calculator 2 to solve this problem.

Example 3) Sally invests money in some shares. Five years later, she sells them for $7200 at a profit of 25% of their original value. How much did she spend on the shares?

Step 1) The percentage of the original number is 100 + 25 = 125%

Step 2) 7200 x 100 = 720,000

Step 3) 720,000 ÷ 125 = 5760

Answer: the amount she spent on shares was $5760.

You can use calculator 2 to solve this problem.

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

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!

This is the calculator to use if you want to find a percentage of a number.

Simple choose your number and the percentage and the calculator will do the rest.

If you need to find the percentage increase/decrease between 2 numbers, then this calculator is the one you need.

Simple input the original number, then the new number and the calculator will tell you the percentage increase or decrease.

If you need to convert a percentage to a fraction - either a decimal fraction or a fraction in its simplest form, then use this calculator.

You can also use the fraction to percentage calculator for converting any fraction into a percentage.

This calculator takes a percentage and converts it at the click of a button.

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

Return to 5th Grade Math Worksheets

Return from Multiplying Mixed Fractions to Math Salamanders Homepage

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Looking for a fun and motivating way to learn and practice math skills?

Why not try one of our free printable math games with your students!

Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- List of Geometric Shapes
- Equivalent Fractions
- Printable Shapes
- 3d Geometric Shapes
- Perimeter Worksheets
- Reverse Percentage Calculator

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.