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.

How to find Reverse Percentages

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.

Examples of Reverse Percentages

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.

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!

Return to 5th Grade Math Worksheets

Return from Multiplying Mixed Fractions to Math Salamanders Homepage

Math-Salamanders.com

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.

Search here!

Looking for some fun printable math games?

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

- Online Times Table Practice
- Online + and - Practice
- Times Table Worksheets
- Geometry Sheets
- Fraction Sheets
- Money Sheets
- Math Games
- Fun Math Puzzles & Activities
- Math Help Pages

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

Looking for a new direction in your life in 2018?

Got a hobby or passion you want to share?

Create your own business from the comfort of your home...

Expand your horizons with SBI!

I used this to develop my site in 2010, and have never looked back!

Click here for my story!

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!

Looking for some cool math certificates to hand out?

A certificate is a great way to praise achievement in math learning.

Check out our printable math certificate collection!

## New! Comments

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