Sumwise

Percentage Change from 31 to 26

From 31 to 26 is a 16.129% decrease

Change
-16.129%
Difference
-5
New ÷ old
0.83871
Direction
decrease

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: 26 − 31 = -5
  2. Divide by the starting value: -5 ÷ 31 = -0.16129
  3. Multiply by 100: -16.129%
  4. Check: Work forwards from the start: 31 × (1 − 0.16129) = 31 × 0.83871 = 26.

In a spreadsheet: =(26-31)/31*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 83.871% of the old one: for every 100 at the start there are now 83.871, so 16.129 out of every 100 have gone.

Sales: a price cut from $31 to $26 is a 16.129% discount.

Why the change back is different

A 16.129% fall followed by a 16.129% rise does not bring you back to 31: it gives 30.1935. The second percentage is taken of 26, not of 31, so to undo this change you need 19.2308% instead.

Related results

Results for nearby numbers
31 to 24

From 31 to 24 is a 22.5806% decrease

31 to 25

From 31 to 25 is a 19.3548% decrease

31 to 27

From 31 to 27 is a 12.9032% decrease

31 to 28

From 31 to 28 is a 9.6774% decrease

31 to 36

From 31 to 36 is a 16.129% increase

The other way round: Percentage change from 26 to 31. Percentage change is not symmetric: from 31 to 26 is -16.129%, but from 26 back to 31 is 19.2308%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 26 and 31: 17.5439%. See Percentage difference between 26 and 31.

Practice

6 to 45
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From 6 to 45 is a 650% increase

97 to 18
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From 97 to 18 is a 81.4433% decrease

55 to 39
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From 55 to 39 is a 29.0909% decrease

26 to 71
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From 26 to 71 is a 173.0769% increase

24 to 87
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From 24 to 87 is a 262.5% increase

67 to 88
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From 67 to 88 is a 31.3433% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 31 to 26

Going from 31 to 26 is a 16.129% decrease. Formula and steps.

Is going from 31 to 26 an increase or a decrease?

A decrease: the value fell by 5, which is 16.129% of the starting value.

What is the percentage change from 26 back to 31?

19.2308%. It is a different number because the starting value is now 26, not 31.