Sumwise

What is the Percentage Difference from 18 to 16?

From 18 to 16 is a 11.1111% decrease

Change
-11.1111%
Difference
-2
New ÷ old
0.888889
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: 16 − 18 = -2
  2. Divide by the starting value: -2 ÷ 18 = -0.111111
  3. Multiply by 100: -11.1111%
  4. Check: Work forwards from the start: 18 × (1 − 0.111111) = 18 × 0.888889 = 16.

In a spreadsheet: =(16-18)/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 88.8889% of the old one: for every 100 at the start there are now 88.8889, so 11.1111 out of every 100 have gone.

Sales: a price cut from $18 to $16 is a 11.1111% discount.

Why the change back is different

A 11.1111% fall followed by a 11.1111% rise does not bring you back to 18: it gives 17.7778. The second percentage is taken of 16, not of 18, so to undo this change you need 12.5% instead.

Related results

Results for nearby numbers
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From 18 to 14 is a 22.2222% decrease

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From 18 to 15 is a 16.6667% decrease

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From 18 to 17 is a 5.5556% decrease

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From 18 to 26 is a 44.4444% increase

The other way round: Percentage difference from 16 to 18

Practice

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From 4 to 91 is a 2,175% increase

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From 61 to 44 is a 27.8689% decrease

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From 55 to 66 is a 20% increase

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From 38 to 3 is a 92.1053% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 18 to 16?

Going from 18 to 16 is a 11.1111% decrease. Formula and steps.

Is going from 18 to 16 an increase or a decrease?

A decrease: the value fell by 2, which is 11.1111% of the starting value.

What is the percentage change from 16 back to 18?

12.5%. It is a different number because the starting value is now 16, not 18.