## Step 1: Add the percentage and 100

Add the percentage and 100. So, if we want to increase 75 by 20%, we add:

## Step 2: Change the percentage to a decimal form

Move two decimal places to the left of the percentage. Hence, we move two decimal places to the left of 120.

## Step 3: Multiply by the base value

Once we have the decimal form of the percentage, we multiply it with the given base value. So, for the case of our example, if we increase 75 by 20%, then the result would be 90.

## Examples of increasing a number by a percentage

**Q1) What would the result be if 150 is increased by 30%?**

First, we can add 100% and 30%, 100+30=130%

Once the percentages are added, we move two decimal places to the left of 130%.

130% = 1.30

Multiply the decimal by 150 to find the new value.

1.30×150 = 195

Then, the result would be 195.

**Q2) Blair’s average last semester was 88 and she plans to increase this the next semester by 5%. What should she expect her minimum average be if she succeeded in increasing her grade?**

We first add 100 and 5 : 100+5=105%. Next, we move two decimal places to the left of 105% .

105%=1.05

To increase 88 by 5%, we multiply 88 by 1.05. 1.05×88=92.4

This means that Blair should at least have 92.4 for her average score next semester.