Sumwise

Percentage Change from 17 to 13

From 17 to 13 is a 23.5294% decrease

Change
-23.5294%
Difference
-4
New ÷ old
0.764706
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: 13 − 17 = -4
  2. Divide by the starting value: -4 ÷ 17 = -0.235294
  3. Multiply by 100: -23.5294%
  4. Check: Work forwards from the start: 17 × (1 − 0.235294) = 17 × 0.764706 = 13.

In a spreadsheet: =(13-17)/17*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 76.4706% of the old one: for every 100 at the start there are now 76.4706, so 23.5294 out of every 100 have gone.

Sales: a price cut from $17 to $13 is a 23.5294% discount.

Why the change back is different

A 23.5294% fall followed by a 23.5294% rise does not bring you back to 17: it gives 16.0588. The second percentage is taken of 13, not of 17, so to undo this change you need 30.7692% instead.

Related results

Results for nearby numbers
17 to 11

From 17 to 11 is a 35.2941% decrease

17 to 12

From 17 to 12 is a 29.4118% decrease

17 to 14

From 17 to 14 is a 17.6471% decrease

17 to 15

From 17 to 15 is a 11.7647% decrease

17 to 23

From 17 to 23 is a 35.2941% increase

The other way round: Percentage change from 13 to 17. Percentage change is not symmetric: from 17 to 13 is -23.5294%, but from 13 back to 17 is 30.7692%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 13 and 17: 26.6667%. See Percentage difference between 13 and 17.

Practice

4 to 38
Show answer

From 4 to 38 is a 850% increase

58 to 67
Show answer

From 58 to 67 is a 15.5172% increase

44 to 39
Show answer

From 44 to 39 is a 11.3636% decrease

86 to 96
Show answer

From 86 to 96 is a 11.6279% increase

95 to 90
Show answer

From 95 to 90 is a 5.2632% decrease

81 to 85
Show answer

From 81 to 85 is a 4.9383% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 17 to 13

Going from 17 to 13 is a 23.5294% decrease. Formula and steps.

Is going from 17 to 13 an increase or a decrease?

A decrease: the value fell by 4, which is 23.5294% of the starting value.

What is the percentage change from 13 back to 17?

30.7692%. It is a different number because the starting value is now 13, not 17.