Percentage Change Sample Problems

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Here are some tips for Percentage Change, which aligns with New York state standards:

Percentage Change

For this topic, you should know how to convert decimals and fractions into percentages.
To review basic percentages, see here.

To calculate the percentage change between two numbers, we use the formula

new number - original number
original number

Example 1: Increase in change

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
308 is % greater than 175
In this problem, you are comparing 308 to 175. So 175 is the original number and 308 is the new number.

308 - 175
175 = 133
175 = 0.76 = 76%

So 308 is % greater than 175

Example 2: Decrease in change

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
34 is % smaller than 425
In this problem, you are comparing 34 to 425. So 425 is the original number and 34 is the new number.

34 - 425
425 = -391
425 = -0.92 = -92%

The answer is negative because there is a decrease in percentage change.
So 34 is % smaller than 425