## Step 1: Add the percentage to 100

This means that if we want to look for the original number given that if we increase it by 15%, the result is 92.

## Step 2: Turn the percentage into a decimal

Change the percentage from Step 1 to decimal by moving two decimal places to the left.

## Step 3: Divide by the decimal form

Divide the given final value by the decimal form from Step 2. So, to find the original number, we can divide 92 by 1.15.

## Examples of how to reverse percentages

**Q1) Nathaniel bought a pair of gaming console at 75% its original price. If he bought the console for $240, how much is the gaming console’s original price?**

To find the original cost of the console, we first change 75% to decimal.

75%=0.75

We can then divide $240 by 0.75 to find the original price of the console.

240÷0.75=320

This means that the gaming console originally costs $320.

**Q2) Jonathan decided to reduce the prices at his coffee shop by 15% to support students as they prepare for their finals. If one medium cup of American now costs $1.70, how much does one cup cost before Jonathan’s promotion?**

We first subtract 100 from 15 100-15=85%

To find the original cost, we have to change 85% to decimal.

85%=0.85

Divide the new cost by 0.85, we have

1.70÷0.85=2

That’s why one cup of Americano used to cost $2.00.

**Q3) Charlie was not satisfied by his average score last semester but he plans to aim for a score 20% higher than that. If his new average score set for semester is 96, what was his previous score last term?**

Since we want to find the original value after increasing it by 20%, we add 100 and 20 100+20=120%

We then change 120% to decimal by moving two decimal places to its left.

120%=1.20

Divide 96 by 1.20 to find Charlie’s previous score.

96÷1.20=80

This means that Charlie’s average last semester was 80.