# Reverse Percentages Calculator

Welcome to the our Reverse Percentages Calculator.

Here you will our reverse percentage calculator which will help you to find the original value before a percentage increase or decrease.

Our calculators will not only find the original values, but also show you all the working out along the way!

### Which Reverse Percentage Calculator do I need?

Reverse Percentage Calculator 1

Example: 32% of a number is 150. What's the number?

Reverse Percentage Calculator 2

Example: After a 12% decrease, the price of a car is \$15,000. How much did the car originally cost?

## Reverse Percentages Calculator 1

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

Example: if 70% of a number is 210 then it will find the original value using the steps below.

• Type 70 for the percentage.
• Type 210 as the Final Value.
• Click 'Find Original Value'.
• Answer: 300. So 70% of 300 = 210.

## Reverse Percentages Calculator 2

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

Example: if a toy in a sale marked 20% off costs \$210, what is the original price?

• Type 20 for the percentage.
• Select 'Percentage Decrease' because the items is 20% less in the sale.
• Type 210 into the Final Number box.
• Click 'Find Original Number'.
• Answer: 262.5. So the original price is \$262.50

Example: Tyger jumps 320 cm which is 15% further than Sally. How far did Sally jump to the nearest cm?

• Type 15 for the percentage.
• Select 'Percentage Increase' as the jump was 15% more.
• Type 320 into the Final Number box.
• Click 'Find Original Number'.
• Answer: 278.26. So Sally jumped 278 cm to the nearest cm

### How to find Reverse Percentages

Read on below if you want to find out how to solve reverse percentage questions without the calculators.

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

#### Finding the Reverse Percentage of a number in 3 easy steps.

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.

• Example: if the percentage is an 18% increase, then the percentage is 100 + 18 = 118%
• Example: if the percentage is a 37% decrease, then the percentage is 100 - 37 = 63%

Step 2) Find 1% of the missing number by dividing the final number by the percentage from Step 1)

Step 3) Find 100% of the missing number by multiplying the result from Step 2) by 100.

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