Sumwise

Percentage Change from 18 to 31

From 18 to 31 is a 72.2222% increase

Change
72.2222%
Difference
13
New ÷ old
1.722222
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: 31 − 18 = 13
  2. Divide by the starting value: 13 ÷ 18 = 0.722222
  3. Multiply by 100: 72.2222%
  4. Check: Work forwards from the start: 18 × (1 + 0.722222) = 18 × 1.722222 = 31.

In a spreadsheet: =(31-18)/18*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 1.7222 times the old one: for every 100 at the start there are now 172.2222.

Prices: an item whose price rises from $18 to $31 has gone up by 72.2222%.

Why the change back is different

A 72.2222% rise followed by a 72.2222% fall does not bring you back to 18: it gives 8.6111. The second percentage is taken of 31, not of 18, so to undo this change you need 41.9355% instead.

Related results

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From 18 to 32 is a 77.7778% increase

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From 18 to 33 is a 83.3333% increase

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From 18 to 41 is a 127.7778% increase

The other way round: Percentage change from 31 to 18. Percentage change is not symmetric: from 18 to 31 is 72.2222%, but from 31 back to 18 is -41.9355%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 18 and 31: 53.0612%. See Percentage difference between 18 and 31.

Practice

4 to 16
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From 4 to 16 is a 300% increase

96 to 60
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From 96 to 60 is a 37.5% decrease

94 to 36
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From 94 to 36 is a 61.7021% decrease

53 to 87
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From 53 to 87 is a 64.1509% increase

14 to 88
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From 14 to 88 is a 528.5714% increase

74 to 21
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From 74 to 21 is a 71.6216% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 18 to 31

Going from 18 to 31 is a 72.2222% increase. Formula and steps.

Is going from 18 to 31 an increase or a decrease?

An increase: the value grew by 13, which is 72.2222% of the starting value.

What is the percentage change from 31 back to 18?

-41.9355%. It is a different number because the starting value is now 31, not 18.