To find a relative percentage increase via a growth factor, you need to find the growth rate, by using the formula 

How Do You Find a Percentage Increase Using a Growth Factor?

A growth factor helps you calculate a final amount after a percentage has been added or subtracted. It is given by the formula:

 is the decimal representation of the percentage that is being added or subtracted.

Indicates the percentage increase or decrease between the initial and final amounts. Also known as growth rate.

The starting amount, before a percentage increase or decrease

The amount after you have included the percentage increase or decrease. It is given by the formula:

A measure of how much a quantity has changed expressed as percentage (%)

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Growth Factor

Growth Factor for an Increase

Decay Factor

Decay Factor for a Decrease

Growth Factor Equal to 1

Finding the Initial Amount 

Finding a Percentage Increase

Finding a Percentage Decrease

Increasing by the Same Percentage Multiple Times

Decreasing by the Same Percentage Multiple Times

Growth Factors

To find the relative percentage change via growth factor, you need to find the growth or decay rate, by using the formula y =a (1 ± r). This video explains. 