Percentage Change Calculator toCalculate Percent Increase or Decrease

The Percentage Change Calculator on this page will calculate the percent increase or decrease from one number to another number.

This free online percent change calculator will calculate the numerical difference, percent difference, fractional change, and percent change from one number to another.

Plus, unlike the majority of online percentage calculators, this percentage change calculator allows you to choose the decimal rounding, explains how it arrived at the given result, and shows a visual representation of the result in a bar chart.

If you would like to calculate what percent one number is of another, or calculate numbers from a percentage, please visit the Percent Calculator.

How to Calculate Percent Change

The formula used for calculating percent increase or decrease is as follows:

Percentage Change Formula

 % Change = ( V2 - V1 ) 100 V1

Where V1 is the starting number and V2 is the ending number

To see how the percent change formula works, let's suppose you wanted to calculate the percent change in the cost of attending college from the previous year. If the tuition last year was \$5,000, and tuition this year is \$5,500, here is how you would calculate the percent increase in college tuition:

Calculate Percent Change from 5000 to 5500

 % Chg. = ( 5500 - 5000 ) 100 5000

 % Chg. = ( 500 ) 100 5000

 % Chg. = 0.10 * 100

 Change = 10% Increase

On the other hand, let's suppose tuition last year was \$5,500, and tuition this year is \$5,000 (I know, wishful thinking), here is how you would calculate the percent decrease in college tuition:

Calculate Percent Change from 5500 to 5000

 % Chg. = ( 5000 - 5500 ) 100 5500

 % Chg. = ( -500 ) 100 5500

 % Chg. = -0.0909 * 100

 Change = -9.09%, or a 9.09% Decrease

If you are wondering why a 500 increase results in a higher percentage change (10%) than a 500 decrease (9.09%) in the above example, it's because the denominator in the percentage change formula is always greater in the case of a percentage decrease (higher of the two numbers is the divisor).

With that, let's use the percentage change calculator to calculate percent increase or decrease.

Percentage Change Calculator

Instructions: Enter beginning or oldest number and enter the ending or most recent number, and then click the "Calculate Percent Change" button.

Mouse over the blue question marks for a further explanation of each entry field or button. More in-depth explanations can be found in the glossary of terms located beneath the Percentage Change Calculator.

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Number of decimal places to round result to:
Beginning number (#):
Ending number (#):
Numerical difference:
Percentage difference:
Fractional change:
Percent change:
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Percentage Change Calculator Glossary of Terms

 Check Out My Other SuperOnline Math CalculatorsTo Help You ToSolve and Learn ...

Percentage: A numerical expression indicating how one number compares to another. For example, to numerically express what portion 5 people represent out of a group of 20 people (5/20), the 5 people would represent 25% of the group (5/20 = .25, or 25%).

Number of decimal places to round result to: Select how many decimal places you would like the percentage increase or decrease result rounded to.

Beginning number: Enter the beginning or oldest number.

Ending number: Enter the ending or most current number.

Numerical difference: This is the absolute value of the numerical difference between the beginning number and the ending number.

Percentage difference: This is the percentage difference between the two entered numbers (not the same as percentage change). The percent difference formula used by the percentage change calculator is as follows:

 (|V1 - V2|) / ((V1 + V2) / 2) * 100

Fractional change: This is difference of the beginning and ending numbers, over the beginning number.

Percent change: This is the rounded version of the result derived from calculating percent change. After clicking the Calculate Percent Change button the percentage change calculator will display an explanation of the result, show the calculations it performed, and display a bar chart for a visual representation of the increase or decrease.

> Percentage Change Calculator

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