Reverse Percentages

About Reverse Percentages

Working backwards to obtain an original quantity given a percentage of that amount is known as reverse percentages (or inverse percentages).

Using a calculator, we can find 100 per cent by taking the percentage we've been given, dividing by 1 percent, and multiplying by 100.
We can compute this without using a calculator if we use factors from the percentage we were given.
We are sometimes provided with a percentage of an amount and must determine the original value.

It's important to remember that the original payment represents 100% of the value.

Reverse (or inverse) percentages mean working backwards to find out an original amount, given a percentage of that amount.

Example: 45% of a number is 36. Find the original number.

Sol:

Reverse Percentages

When given a % of a sum, how do you employ reverse percentages? (calculator method)
Using a calculator, find the original amount given a percentage of the amount:
Calculate the percentage and multiply it by the amount you were given.
Subtract the percentage from both sides.
(For example, if you have 80%, divide both by 80). This will provide you with 1%.
Both sides should be multiplied by 100.
This will provide you with 100%.