Calculating reverse percentages is a really useful skill to have that you’ll use time and time again. It basically means working backward to figure out the original cost or figure of something. Our guide will show you how to break reverse percentages down to make overcoming the challenge as easy as possible.
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What Are Reverse Percentages?
Reverse percentages can help you to work out the original price or value of something after it’s had a percentage discount or increase applied. You’re most likely to come across reverse percentages in numerical reasoning tests, as they examine your general aptitude for numbers, data, and mathematical principles. However, you may also find it useful to know how to do reverse percentages in other aptitude tests, such as mechanical reasoning.
- We can do this using a calculator by taking the percentage we have been given, dividing it to find 1%, and then multiplying by 100 to find 100%.
- We can also do this without a calculator by using factors of the percentage we have been given.
- Sometimes we are given a percentage of an amount and we need to work out what the original value was.
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.
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.
* Before Percentage Value = Percentage Value / 1 - Percentage (If we want to know the percentage applied value when a base value is given with applied percentage when calculated reverse)
* Before Percentage Value = Percentage Value / 1 + Percentage (If we want to know the base value when a percentage applied value is given with applied percentage)
Here we will learn about reverse percentages including how to work backward to find an original amount given a percentage of that amount or a percentage increase/decrease.
Reverse percentages are where we are given a value or an amount that has increased or decreased by a certain percent, and then we have to use this information to calculate the original amount.
This calculator helps you to find the original number, you have been given the final number, and the percentage type (increase or decrease).
Reverse percentages, or inverse percentages, are useful when you have the final value and the percentage or percentage change, and you need to work “backward” to get the original number.