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"Math Salamanders Free Math Sheets"

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.

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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!

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