Sumwise

What is the Percentage Difference from 20 to 30?

From 20 to 30 is a 50% increase

Change
50%
Difference
10
New ÷ old
1.5
Direction
increase

Sumwise · Checked by Theo Abbott · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Difference: 30 − 20 = 10
  2. Divide by the starting value: 10 ÷ 20 = 0.5
  3. Multiply by 100: 50%
  4. Check: Work forwards from the start: 20 × (1 + 0.5) = 20 × 1.5 = 30.

In a spreadsheet: =(30-20)/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 1.5 times the old one: for every 100 at the start there are now 150.

Prices: an item whose price rises from $20 to $30 has gone up by 50%.

Why the change back is different

A 50% rise followed by a 50% fall does not bring you back to 20: it gives 15. The second percentage is taken of 30, not of 20, so to undo this change you need 33.3333% instead.

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The other way round: Percentage difference from 30 to 20

Practice

5 to 24
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From 5 to 24 is a 380% increase

31 to 41
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From 31 to 41 is a 32.2581% increase

64 to 71
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From 64 to 71 is a 10.9375% increase

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From 26 to 83 is a 219.2308% increase

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From 96 to 47 is a 51.0417% decrease

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From 91 to 81 is a 10.989% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 20 to 30?

Going from 20 to 30 is a 50% increase. Formula and steps.

Is going from 20 to 30 an increase or a decrease?

An increase: the value grew by 10, which is 50% of the starting value.

What is the percentage change from 30 back to 20?

-33.3333%. It is a different number because the starting value is now 30, not 20.