Sumwise

What is the Percentage Difference from 15 to 31?

From 15 to 31 is a 106.6667% increase

Change
106.6667%
Difference
16
New ÷ old
2.066667
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: 31 − 15 = 16
  2. Divide by the starting value: 16 ÷ 15 = 1.066667
  3. Multiply by 100: 106.6667%
  4. Check: Work forwards from the start: 15 × (1 + 1.066667) = 15 × 2.066667 = 31.

In a spreadsheet: =(31-15)/15*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 2.0667 times the old one: for every 100 at the start there are now 206.6667. The value has more than doubled.

Prices: an item whose price rises from $15 to $31 has gone up by 106.6667%.

Why the change back is different

A 106.6667% rise followed by a 106.6667% fall does not bring you back to 15: it gives -2.0667. The second percentage is taken of 31, not of 15, so to undo this change you need 51.6129% instead.

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The other way round: Percentage difference from 31 to 15

Practice

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From 4 to 81 is a 1,925% increase

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From 97 to 18 is a 81.4433% decrease

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From 54 to 71 is a 31.4815% increase

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From 45 to 8 is a 82.2222% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 15 to 31?

Going from 15 to 31 is a 106.6667% increase. Formula and steps.

Is going from 15 to 31 an increase or a decrease?

An increase: the value grew by 16, which is 106.6667% of the starting value.

What is the percentage change from 31 back to 15?

-51.6129%. It is a different number because the starting value is now 31, not 15.