Percent Increase Calculator
Find the percent increase or the growth in a value by entering the known values below.
Steps to Solve Percent Increase
Steps to Solve Increase in Value
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How to Find Percent Increase
Percent increase is the growth in a value expressed as a percentage. It is the percent of change from the initial quantity to a larger final quantity.
Use the following formula to calculate the percentage increase.
Percent Increase Formula
Percentage increase is defined as the difference between the initial value and final value divided by the initial value. The percent increase formula is:
p = final – initial / |initial| × 100
Thus, the increase in value expressed as a percentage is equal to the final value minus the initial value, divided by the absolute value of the initial, times 100.
For example, let’s calculate the percentage increase from 50 to 80.
p = 80 – 50 / |50| × 100
p = 30 / 50 × 100
p = 0.6 × 100
p = 60% increase
How to Calculate the Growth by a Percentage
If the percent increase is known, you can calculate the growth of a value to the final value by multiplying the initial value by the percentage and adding that to the initial value.
final = (initial × p / 100) + initial
Thus, the final value is equal to the initial value times the percentage divided by 100, plus the initial value.
For example, let’s calculate the growth of the initial value 80 by 50%
final = (80 × 50 / 100) + 80
final = (80 × .5) + 80
final = 40 + 80
final = 120
Use our percent decrease calculator to find the decrease in a value.
Frequently Asked Questions
Is percentage increase the same as percentage change?
Percent increase is a component of percent change. Percent change encompasses both percent increase and/or percent decrease.
What is the percent increase when a quantity is doubled?
When a quantity is doubled, the percentage increase is 100 percent.
Can percent increase be negative?
No, positive values represent a percentage increase. Whereas a negative value will indicate a percentage decrease.