Sumwise

Percentage Change from 20 to 25

From 20 to 25 is a 25% increase

Change
25%
Difference
5
New ÷ old
1.25
Direction
increase

Sumwise · Maintained by Theo Abbott (pen name) · automated checks · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How the checks work

How to work it out

  1. Difference: 25 − 20 = 5
  2. Divide by the starting value: 5 ÷ 20 = 0.25
  3. Multiply by 100: 25%
  4. Check: Work forwards from the start: 20 × (1 + 0.25) = 20 × 1.25 = 25.

In a spreadsheet: =(25-20)/20*100. Always divide by the starting value, not the new one. A rise from 40 to 50 is +25%, but the fall from 50 back to 40 is −20%.

What the result means

The new value is 1.25 times the old one: for every 100 at the start there are now 125.

Prices: an item whose price rises from $20 to $25 has gone up by 25%.

Why the change back is different

A 25% rise followed by a 25% fall does not bring you back to 20: it gives 18.75. The second percentage is taken of 25, not of 20, so to undo this change you need 20% instead.

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The other way round: Percentage change from 25 to 20. Percentage change is not symmetric: from 20 to 25 is 25%, but from 25 back to 20 is -20%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 20 and 25: 22.2222%. See Percentage difference between 20 and 25.

Practice

4 to 2
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From 4 to 2 is a 50% decrease

6 to 38
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From 6 to 38 is a 533.3333% increase

1 to 58
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From 1 to 58 is a 5,700% increase

71 to 17
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From 71 to 17 is a 76.0563% decrease

41 to 9
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From 41 to 9 is a 78.0488% decrease

8 to 97
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From 8 to 97 is a 1,112.5% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 20 to 25

Going from 20 to 25 is a 25% increase. Formula and steps.

Is going from 20 to 25 an increase or a decrease?

An increase: the value grew by 5, which is 25% of the starting value.

What is the percentage change from 25 back to 20?

-20%. It is a different number because the starting value is now 25, not 20.