Sumwise

Percentage Change from 100 to 72

From 100 to 72 is a 28% decrease

Change
-28%
Difference
-28
New ÷ old
0.72
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: 72 − 100 = -28
  2. Divide by the starting value: -28 ÷ 100 = -0.28
  3. Multiply by 100: -28%
  4. Check: Work forwards from the start: 100 × (1 − 0.28) = 100 × 0.72 = 72.

In a spreadsheet: =(72-100)/100*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 72% of the old one: for every 100 at the start there are now 72, so 28 out of every 100 have gone.

Sales: a price cut from $100 to $72 is a 28% discount.

Why the change back is different

A 28% fall followed by a 28% rise does not bring you back to 100: it gives 92.16. The second percentage is taken of 72, not of 100, so to undo this change you need 38.8889% instead.

Related results

Results for nearby numbers
100 to 70

From 100 to 70 is a 30% decrease

100 to 71

From 100 to 71 is a 29% decrease

100 to 73

From 100 to 73 is a 27% decrease

100 to 74

From 100 to 74 is a 26% decrease

100 to 82

From 100 to 82 is a 18% decrease

The other way round: Percentage change from 72 to 100. Percentage change is not symmetric: from 100 to 72 is -28%, but from 72 back to 100 is 38.8889%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 72 and 100: 32.5581%. See Percentage difference between 72 and 100.

Practice

19 to 95
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From 19 to 95 is a 400% increase

2 to 87
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From 2 to 87 is a 4,250% increase

28 to 96
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From 28 to 96 is a 242.8571% increase

3 to 93
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From 3 to 93 is a 3,000% increase

99 to 30
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From 99 to 30 is a 69.697% decrease

63 to 85
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From 63 to 85 is a 34.9206% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 100 to 72

Going from 100 to 72 is a 28% decrease. Formula and steps.

Is going from 100 to 72 an increase or a decrease?

A decrease: the value fell by 28, which is 28% of the starting value.

What is the percentage change from 72 back to 100?

38.8889%. It is a different number because the starting value is now 72, not 100.