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Percentage Increase Calculator

Calculate the percentage change between an original value and a new value.
Learn how the answer is calculated with a formula and clear steps.

01

Calculate Percentage Change

Enter the starting value and the new value.

Try: 100 to 110 200 to 250 500 to 600
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YOUR RESULT

Percentage Increase Result

From 100 to 125

+25%

The value increased by 25%.

Absolute change: +25

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Calculation Breakdown

First, find the numerical difference between the new value and the original value.

Change = New value − Original value

= 125 − 100 = 25

Percentage change = (25 ÷ 100) × 100 = 25%

Formula Used

Percentage change compares the difference with the original value.

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

(125 − 100) ÷ 100 × 100 = 25%

The original value must be greater than zero because it is the denominator.

Step-by-Step Solution

Follow these steps to understand how the final percentage is obtained.

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

What Is Percentage Increase?

Percentage increase tells you how much a value has grown compared with its starting value. For example, if a price changes from 100 to 125, the increase is 25 units. Since 25 is one-quarter of the original 100, the percentage increase is 25%.

The same method can be used for marks, salaries, prices, sales, populations, and other values. If the new value is lower than the original value, the calculation returns a negative percentage, which represents a decrease.

FORMULA EXPLAINED

How to Calculate Percentage Increase

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

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

From 100 to 125

Step 1: 125 − 100 = 25

Step 2: 25 ÷ 100 = 0.25

Step 3: 0.25 × 100

= 25% increase

Percentage Increase Examples

100 to 110= 10% increase→ 200 to 250= 25% increase→ 80 to 100= 25% increase→ 500 to 600= 20% increase→

Related Percentage Formulas

Percentage change(New − Original) ÷ Original × 100
Absolute changeNew value − Original value
New value after an increaseOriginal × (1 + rate ÷ 100)
Original value before an increaseNew ÷ (1 + rate ÷ 100)

A positive percentage indicates an increase, a negative percentage indicates a decrease, and 0% means there was no change.

Percentage Increase Calculator FAQs

What is the formula for percentage increase?

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

Can the percentage result be negative?

Yes. If the new value is lower than the original value, the percentage change is negative and represents a decrease.

Why can't the original value be zero?

The formula divides by the original value. Division by zero is undefined, so percentage change cannot be calculated from an original value of zero.

What is the difference between absolute change and percentage change?

Absolute change is the numerical difference between two values. Percentage change shows that difference relative to the original value.