Percent Change Calculator

Calculate the percentage increase or decrease between an old value and a new value, with the formula shown.

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Percent change

+50%

100 to 150 is a +50% increase

Absolute change
+50
Direction
increase
Old value
100
New value
150

How to use this result

Use the percent change to compare relative differences between two values. A positive result indicates growth, while a negative result indicates a decline. The absolute change shows the raw difference between the values.

Also in Percentages

Percentage Tools

Percent change calculator: find the increase or decrease between two values

A percent change calculator determines the percentage increase or decrease when a value moves from an old amount to a new amount. It is one of the most commonly needed percentage calculations, used in finance for return on investment, in retail for price changes, and in data analysis for tracking trends over time.

The percent change formula

Percent change compares the difference between two values to the original value. A positive result indicates an increase; a negative result indicates a decrease. The formula works for any measurable quantity: prices, populations, test scores, revenue, or physical measurements.

For example, if a stock price rises from 40 to 52, the change is (52 - 40) / 40 x 100 = 30%. If it falls from 52 to 40, the change is (40 - 52) / 52 x 100 = -23.08%. Note that the percentage change is not symmetric.

Percent change = ((New - Old) / Old) x 100

The difference between new and old values, divided by the old value, expressed as a percentage.

Percent change vs. percentage difference

Percent change uses the original value as the reference point and implies a direction (increase or decrease). Percentage difference uses the average of the two values as the reference and does not imply direction. Use percent change when there is a clear before-and-after relationship, and percentage difference when comparing two values without a time ordering.

Frequently asked questions

Can percent change be more than 100%?

Yes. If a value more than doubles, the percent change exceeds 100%. A value that triples has a percent change of 200%.

What if the old value is zero?

Percent change is undefined when the old value is zero because division by zero is not possible. In this case, you can describe the change in absolute terms instead.

Is a 50% increase followed by a 50% decrease the same as no change?

No. A 50% increase on 100 gives 150. A 50% decrease on 150 gives 75, which is 25% less than the original. Percentage changes are not symmetric.

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