Reverse Percentages Calculator

We have created a short video to show you all about reverse percentages.

In the video, you will see:

• what a reverse percentage is
• how to spot a reverse percentage problem
• which calculator you should use to solve the problem
• a worked example showing how to solve the problem without a calculator

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

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

Our percentage equation is 35% of ? = 320

Step 2) So 1% of ? = 320 ÷ 35 = 9.1429 (to 4dp).

Steo 3) 100% of ? = 9.1429 x 100 = 914.29 (to 2dp)

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%

Our percentage equation is 80% of ? = $40,000

Step 2) So 1% of ? = $40,000 ÷ 80 = $500

Step 3) 100% of ? = $500 x 100 = $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%

Our percentage equation is 125% of ? = $7200

Step 2) So 1% of ? = $7200 ÷ 125 = $57.60

Step 3) 100% of ? = $57.60 x 100 = $5760

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

You can use calculator 2 to solve this problem.

Example 4) Tyger buys a mountain bike. Three years later, he sells it for $675 which is 45% of its original value. How much did he pay for the bike originally?

Step 1) The percentage of the original number is 45%

Our percentage equation is 45% of ? = $675

Step 2) So 1% of ? = $675 ÷ 45 = $15

Step 3) 100% of ? = $15 x 100 = $1500

Answer: the amount he paid for the bike was $1500.

You can use calculator 1 to solve this problem.

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!

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.