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Percentage Change Calculator

Calculate how much a value has increased or decreased compared with its original value.
Learn the formula and follow each calculation step.

01

Calculate Percentage Change

Enter the starting value and the new value.

Try:100 to 110200 to 15080 to 100
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YOUR RESULT

Percentage Change Result

From 100 to 125

+25%

The value increased by 25%.

Absolute change: +25

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Calculation Breakdown

Percentage change compares the difference with the original value.

Change = 125 − 100 = 25

Ratio = 25 ÷ 100 = 0.25

Percentage change = 0.25 × 100 = +25%

Formula Used

The original value is the base for the calculation.

Percentage Change(New Value − Original Value) ÷ Original Value × 100

(125 − 100) ÷ 100 × 100 = +25%

The original value must be greater than zero because the formula divides by it.

Step-by-Step Solution

Follow each step to see how the final percentage is calculated.

1
Find the change125 − 100 = 25
2
Divide by the original value25 ÷ 100 = 0.25
3
Convert the ratio to a percentage0.25 × 100 = 25%
LEARN THE CONCEPT

What Is Percentage Change?

Percentage change describes how much a value has changed relative to its original value. A positive result means the value increased, while a negative result means it decreased. It is commonly used to compare price changes, salary adjustments, business revenue, population figures, and measurements over time.

Percentage change is directional: the original value is always the reference point. This is different from percentage difference, which compares two values using their average as the reference.

FORMULA EXPLAINED

How to Calculate Percentage Change

Subtract the original value from the new value. Divide that difference by the original value, then multiply by 100.

Percentage Change=(New − Original) ÷ Original × 100
Worked Example

From 100 to 125

Change = 125 − 100 = 25

25 ÷ 100 × 100

= +25% increase

Percentage Change Examples

100 to 110= +10% change→200 to 150= −25% change→80 to 100= +25% change→50 to 50= 0% change→

Related Percentage Formulas

Percentage change(New − Original) ÷ Original × 100
Absolute changeNew value − Original value
Percentage increase(Increase ÷ Original) × 100
Percentage decrease(Decrease ÷ Original) × 100

A negative percentage change represents a decrease; a positive percentage change represents an increase.

Percentage Change Calculator FAQs

What is the percentage change formula?

Subtract the original value from the new value, divide the result by the original value, and multiply by 100: ((New − Original) ÷ Original) × 100.

Can percentage change be negative?

Yes. A negative result means the new value is lower than the original value, so the value decreased.

What does a positive percentage change mean?

A positive result means the new value is greater than the original value, so the value increased.

Can I use zero as the original value?

No. Percentage change is undefined when the original value is zero because division by zero is not defined.

What is the difference between percentage change and percentage difference?

Percentage change uses the original value as the base and indicates direction. Percentage difference uses the average of two values and treats both values equally.