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How-to guide

How to Calculate Percentage Change: Formula, Steps & Examples

Learn how to calculate Percentage Change — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 2 min read

Calculating your percentage change is straightforward once you know the Percentage Change formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Percentage Change Calculator.

What is Percentage Change?

The Percentage Change calculation tells you your percentage change from a few simple inputs. The figure you are solving for here is the percentage change, expressed in percent.

The Percentage Change formula

The core formula is:

Percentage change = (New value - Original value) ÷ Original value × 100

Here is what each input means:

  • Original value — a number. Example: 50.
  • New value — a number. Example: 75.

How to calculate it step by step

  • Write down the original value (for example, 50).
  • Write down the new value (for example, 75).
  • Apply the formula above to get your percentage change.
  • Double-check the result with the Percentage Change Calculator.

Worked examples

Example 1

Input / OutputValue
Original value50
New value75
Percentage change50.00%
Absolute change25.00

With original value of 50 and new value of 75, the percentage change works out to 50.00%.

Example 2

With original value of 100 and new value of 75, the percentage change works out to -25.00%.

ResultValue
Percentage change-25.00%
Absolute change-25.00

Example 3

With original value of 25 and new value of 75, the percentage change works out to 200.00%.

ResultValue
Percentage change200.00%
Absolute change50.00

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Percentage Change Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Percentage change = (New value - Original value) ÷ Original value × 100. With original value of 50 and new value of 75, the percentage change works out to 50.00%.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Percentage Change Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

The percentage change is expressed in percent. Make sure your inputs use matching units so the result is correct.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.