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HOME/MATH & EDUCATION/TOOL

Percentage Increase / Decrease

Calculate the percentage change between an original value and a new value. See whether it went up or down, and by how much.

PERCENTAGE CHANGE
+25.00%increase
ABSOLUTE CHANGE20
DIRECTIONINCREASE
MULTIPLIER1.25×
ORIGINAL80
NEW100
FORMULA(new − old) / old
Formula: ((new − original) ÷ original) × 100. From 80 to 100 is +25%. From 100 to 80 is −20%.

The percentage change formula

Percentage change answers: “how big is the move from A to B, relative to A?”

change % = ((new − original) ÷ original) × 100

Example: a price goes from 80 to 100. (100 − 80) ÷ 80 × 100 = +25% (increase). From 100 back to 80 is −20% (decrease). The two directions are not the same size — that is expected.

How to use this tool

  1. Enter the original value (the starting number).
  2. Enter the new value.
  3. Read the percent change, the absolute difference and whether it is an increase or a decrease.

Increase vs decrease vs “difference”

Percentage change is always relative to the original number and can be negative. Percentage difference is a different formula (usually the gap divided by the average of the two numbers) and is always positive. This tool does change, which is what people mean by “sales were up 12%”.

A zero original value

You cannot divide by zero. If the original value is 0, a percentage change is undefined (going from nothing to something is not a finite percent).

Your privacy

All math runs in your browser. Your numbers are never sent to any server and never stored.

Frequently Asked Questions

What is the formula for percentage increase?+

((new − original) / original) × 100. A positive result is an increase. A negative result is a decrease. Example: 50 → 75 is +50%.

Why is 100 → 80 a 20% decrease, but 80 → 100 a 25% increase?+

Each percent is relative to a different starting point. 20 is 20% of 100, but 25% of 80. The calculator is doing that on purpose.

Is percentage change the same as percentage difference?+

No. Change uses the original value as the base and can be signed (+/−). Difference usually uses the average of the two numbers and is unsigned. Use change for growth rates.

Can I calculate a percent decrease in price?+

Yes. Put the old price as Original and the sale price as New. A $40 item on sale for $30 is a 25% decrease.

What if the original number is zero?+

Percentage change is undefined. The tool shows a dash instead of a fake number. Going from 0 to 10 is not “infinity percent” in any useful business sense.

Is my data private?+

Yes. Everything runs locally in your browser. Nothing is uploaded or stored.

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