Sumwise

What is the Percentage Difference from 34 to 15?

From 34 to 15 is a 55.8824% decrease

Change
-55.8824%
Difference
-19
New ÷ old
0.441176
Direction
decrease

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: 15 − 34 = -19
  2. Divide by the starting value: -19 ÷ 34 = -0.558824
  3. Multiply by 100: -55.8824%
  4. Check: Work forwards from the start: 34 × (1 − 0.558824) = 34 × 0.441176 = 15.

In a spreadsheet: =(15-34)/34*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 44.1176% of the old one: for every 100 at the start there are now 44.1176, so 55.8824 out of every 100 have gone.

Sales: a price cut from $34 to $15 is a 55.8824% discount.

Why the change back is different

A 55.8824% fall followed by a 55.8824% rise does not bring you back to 34: it gives 23.3824. The second percentage is taken of 15, not of 34, so to undo this change you need 126.6667% instead.

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The other way round: Percentage difference from 15 to 34

Practice

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From 7 to 59 is a 742.8571% increase

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From 17 to 38 is a 123.5294% increase

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From 96 to 57 is a 40.625% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 34 to 15?

Going from 34 to 15 is a 55.8824% decrease. Formula and steps.

Is going from 34 to 15 an increase or a decrease?

A decrease: the value fell by 19, which is 55.8824% of the starting value.

What is the percentage change from 15 back to 34?

126.6667%. It is a different number because the starting value is now 15, not 34.