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Percentage Change Calculator

Percentage Change Calculator is part of Toolspire and is ready as soon as this page loads. The starting number has to be non-zero. A move from 80 to 100 is not the same percent as a move from 100 back to 80.

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What you can do here

The base is the old number

Percent change always divides by where you started, not by the new number and not by the average.

Direction in words

The detail says increase, decrease, or no change, so a minus sign is not the only clue.

Two decimal places

The percent is rounded to the nearest 0.01 so 1/3 of a percent does not spill digits.

The sequence

How to use the Percentage Change Calculator

  1. 1

    Put the earlier number first

    Old value is the base. If you swap the boxes, you answer a different question.

  2. 2

    Keep the units the same

    Do not compare rupees with thousands. 1500 to 1800 is the same percent as 1.5 to 1.8 only if both are in the same scale.

  3. 3

    Use CAGR for a multi-year price

    A share that went from 100 to 200 in five years did not “change by 100% a year”. Open the CAGR calculator for the annualised rate.

Worth knowing

  • Percentage Change Calculator on Toolspire: the change is (new − old) ÷ old × 100. The sign is positive for a rise and negative for a fall.
  • A move from 80 to 100 is +25%. The reverse, 100 to 80, is −20%, because the base is now 100.
  • A starting value of 0 has no percentage change. The page returns no result instead of infinity.
  • This is one jump between two numbers. It is not CAGR, which spreads a change across years.

What the number is actually counting

Percentage change answers “how large was this jump compared with the start?”. Percentage difference, which divides by the average of the two numbers, is a different statistic and is not what this page computes. A zero base is undefined, so it is rejected.

FAQ

Questions about Percentage Change Calculator

Where does Percentage Change Calculator run?

Percentage Change Calculator runs in this tab on Toolspire. What you type or drop in is not sent to us and is not stored on a server.

Is percentage change the same as percentage difference?

No. Change divides by the old value. Difference usually divides by the average of the two values. This page is the change formula.

Why is +25% down to the start not −25%?

Because the base changed. Falling from 100 to 80 divides a drop of 20 by 100, which is 20%, not 25%.

What if the old value is negative?

The formula still runs. Read the sign carefully: the base is negative, so the words “increase” and “decrease” follow the arithmetic, which can feel backwards in plain speech.

How is this different from the percentage calculator?

That tool finds a percent of a number, or a number from a percent. This tool only compares an old value with a new one.

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