Sumwise

Percentage Change from 20 to 27

From 20 to 27 is a 35% increase

Change
35%
Difference
7
New ÷ old
1.35
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: 27 − 20 = 7
  2. Divide by the starting value: 7 ÷ 20 = 0.35
  3. Multiply by 100: 35%
  4. Check: Work forwards from the start: 20 × (1 + 0.35) = 20 × 1.35 = 27.

In a spreadsheet: =(27-20)/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 1.35 times the old one: for every 100 at the start there are now 135.

Prices: an item whose price rises from $20 to $27 has gone up by 35%.

Why the change back is different

A 35% rise followed by a 35% fall does not bring you back to 20: it gives 17.55. The second percentage is taken of 27, not of 20, so to undo this change you need 25.9259% instead.

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From 20 to 26 is a 30% increase

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From 20 to 28 is a 40% increase

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The other way round: Percentage change from 27 to 20. Percentage change is not symmetric: from 20 to 27 is 35%, but from 27 back to 20 is -25.9259%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 20 and 27: 29.7872%. See Percentage difference between 20 and 27.

Practice

4 to 5
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From 4 to 5 is a 25% increase

15 to 25
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From 15 to 25 is a 66.6667% increase

88 to 64
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From 88 to 64 is a 27.2727% decrease

37 to 48
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From 37 to 48 is a 29.7297% increase

13 to 26
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From 13 to 26 is a 100% increase

36 to 3
Show answer

From 36 to 3 is a 91.6667% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 20 to 27

Going from 20 to 27 is a 35% increase. Formula and steps.

Is going from 20 to 27 an increase or a decrease?

An increase: the value grew by 7, which is 35% of the starting value.

What is the percentage change from 27 back to 20?

-25.9259%. It is a different number because the starting value is now 27, not 20.