Calculators

Algebra

Percent Calculators

This is a percentage change calculator. Increasing your supply of apples from 10 apples to 20 is a 100% increase or change in your number of apples.

Use this calculator when there is an “old” and “new” number or an “initial” and “final” value. A positive change is an increase in the percentage value while a negative change is a decrease in the percentage value.

Use the percent change calculation when the order of the numbers matters; you have starting and ending values or an "old number" and a "new number."

Input whole numbers or decimal numbers in the calculator. You can also use time values in these formats where hh = hours, mm = minutes and ss = seconds:

• hh:mm
• mm:ss
• hh:mm:ss

Other Percentage Calculators

When you are just comparing two numbers you may want to use the Percent Difference Calculator.

To calculate percentage of a total use the Percentage Calculator.

For percentage to decimal and fraction conversions use:

• Decimal to Percent
• Percent to Decimal
• Fraction to Percent
• Percent to Fraction

Percentage Change Formula

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100.

Watch the CalculatorSoup® YouTube video How to Calculate Percentage Change and walk through some example calculations with us. We'll show you how to find percent change between two numbers, and also demonstrate how to use the CalculatorSoup^® Percentage Change Calculator.

How to Calculate Percentage Change: Example 1

What is the percentage change, as an increase or decrease, to go from 3.50 to 2.625? First, recall the percentage change formula.

Let V₁ = 3.50 and V₂ = 2.625 and plug numbers into the percentage change formula

If you have a -25% change it's the same as saying you have a 25% decrease.

Note that if you let V₁ = 2.625 and V₂ = 3.50 you would get a 33.3333% increase. This is because these percentages refer to different amounts: 25% of 3.50 versus 33.3333% of 2.625.

How to Calculate Percentage Change: Example 2

Let's look at a change that includes negative numbers, where taking the absolute value of V₁ in the denominator makes a difference.

What is the percentage change, as an increase or decrease, to go from -25 to 25?

Let V₁ = -25 and V₂ = 25 and plug numbers into the percent change formula:

If you have a 200% change it's the same as saying you have a 200% increase.

How to Calculate Percentage Change: Example 3

Let's look at another change that includes negative numbers, where taking the absolute value of V₁ in the denominator is important.

What is the percent change, as an increase or decrease, to go from -25 to -50?

Let V₁ = -25 and V₂ = -50 and plug numbers into the formula:

If you have a -100% change it's the same as saying you have a 100% decrease. So if a temperature went from -25 to -50 it is a 100% decrease in temperature.