Sumwise

Percentage Change from 31 to 23

From 31 to 23 is a 25.8065% decrease

Change
-25.8065%
Difference
-8
New ÷ old
0.741935
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: 23 − 31 = -8
  2. Divide by the starting value: -8 ÷ 31 = -0.258065
  3. Multiply by 100: -25.8065%
  4. Check: Work forwards from the start: 31 × (1 − 0.258065) = 31 × 0.741935 = 23.

In a spreadsheet: =(23-31)/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 74.1935% of the old one: for every 100 at the start there are now 74.1935, so 25.8065 out of every 100 have gone.

Sales: a price cut from $31 to $23 is a 25.8065% discount.

Why the change back is different

A 25.8065% fall followed by a 25.8065% rise does not bring you back to 31: it gives 28.9355. The second percentage is taken of 23, not of 31, so to undo this change you need 34.7826% instead.

Related results

Results for nearby numbers
31 to 21

From 31 to 21 is a 32.2581% decrease

31 to 22

From 31 to 22 is a 29.0323% decrease

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 33

From 31 to 33 is a 6.4516% increase

The other way round: Percentage change from 23 to 31. Percentage change is not symmetric: from 31 to 23 is -25.8065%, but from 23 back to 31 is 34.7826%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 23 and 31: 29.6296%. See Percentage difference between 23 and 31.

Practice

6 to 50
Show answer

From 6 to 50 is a 733.3333% increase

30 to 36
Show answer

From 30 to 36 is a 20% increase

88 to 49
Show answer

From 88 to 49 is a 44.3182% decrease

56 to 99
Show answer

From 56 to 99 is a 76.7857% increase

2 to 14
Show answer

From 2 to 14 is a 600% increase

49 to 28
Show answer

From 49 to 28 is a 42.8571% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 31 to 23

Going from 31 to 23 is a 25.8065% decrease. Formula and steps.

Is going from 31 to 23 an increase or a decrease?

A decrease: the value fell by 8, which is 25.8065% of the starting value.

What is the percentage change from 23 back to 31?

34.7826%. It is a different number because the starting value is now 23, not 31.