Sumwise

Percentage Change from 28 to 15

From 28 to 15 is a 46.4286% decrease

Change
-46.4286%
Difference
-13
New ÷ old
0.535714
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: 15 − 28 = -13
  2. Divide by the starting value: -13 ÷ 28 = -0.464286
  3. Multiply by 100: -46.4286%
  4. Check: Work forwards from the start: 28 × (1 − 0.464286) = 28 × 0.535714 = 15.

In a spreadsheet: =(15-28)/28*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 53.5714% of the old one: for every 100 at the start there are now 53.5714, so 46.4286 out of every 100 have gone.

Sales: a price cut from $28 to $15 is a 46.4286% discount.

Why the change back is different

A 46.4286% fall followed by a 46.4286% rise does not bring you back to 28: it gives 21.9643. The second percentage is taken of 15, not of 28, so to undo this change you need 86.6667% instead.

Related results

Results for nearby numbers
28 to 13

From 28 to 13 is a 53.5714% decrease

28 to 14

From 28 to 14 is a 50% decrease

28 to 16

From 28 to 16 is a 42.8571% decrease

28 to 17

From 28 to 17 is a 39.2857% decrease

28 to 25

From 28 to 25 is a 10.7143% decrease

The other way round: Percentage change from 15 to 28. Percentage change is not symmetric: from 28 to 15 is -46.4286%, but from 15 back to 28 is 86.6667%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 15 and 28: 60.4651%. See Percentage difference between 15 and 28.

Practice

6 to 84
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From 6 to 84 is a 1,300% increase

65 to 92
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From 65 to 92 is a 41.5385% increase

87 to 91
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From 87 to 91 is a 4.5977% increase

25 to 64
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From 25 to 64 is a 156% increase

78 to 13
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From 78 to 13 is a 83.3333% decrease

12 to 59
Show answer

From 12 to 59 is a 391.6667% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 28 to 15

Going from 28 to 15 is a 46.4286% decrease. Formula and steps.

Is going from 28 to 15 an increase or a decrease?

A decrease: the value fell by 13, which is 46.4286% of the starting value.

What is the percentage change from 15 back to 28?

86.6667%. It is a different number because the starting value is now 15, not 28.