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 number after a percentage increase of decrease.
Reverse Percentages Calculator 1
Reverse Percentage Calculator 1 - How It Works
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.
Reverse Percentages Calculator 2
Reverse Percentage Calculator 2 - How It Works
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.
More Recommended Math Resources
Take a look at some more of our resources similar to these.
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!
Percentage Of Calculator
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.
Percentage Increase Calculator
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.
Converting Percentage Calculator
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.
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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!
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