Sumwise

Percentage Change from 40 to 28

From 40 to 28 is a 30% decrease

Change
-30%
Difference
-12
New ÷ old
0.7
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: 28 − 40 = -12
  2. Divide by the starting value: -12 ÷ 40 = -0.3
  3. Multiply by 100: -30%
  4. Check: Work forwards from the start: 40 × (1 − 0.3) = 40 × 0.7 = 28.

In a spreadsheet: =(28-40)/40*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 70% of the old one: for every 100 at the start there are now 70, so 30 out of every 100 have gone.

Sales: a price cut from $40 to $28 is a 30% discount.

Why the change back is different

A 30% fall followed by a 30% rise does not bring you back to 40: it gives 36.4. The second percentage is taken of 28, not of 40, so to undo this change you need 42.8571% instead.

Related results

Results for nearby numbers
40 to 26

From 40 to 26 is a 35% decrease

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From 40 to 27 is a 32.5% decrease

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From 40 to 29 is a 27.5% decrease

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From 40 to 30 is a 25% decrease

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From 40 to 38 is a 5% decrease

The other way round: Percentage change from 28 to 40. Percentage change is not symmetric: from 40 to 28 is -30%, but from 28 back to 40 is 42.8571%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 28 and 40: 35.2941%. See Percentage difference between 28 and 40.

Practice

8 to 96
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From 8 to 96 is a 1,100% increase

3 to 35
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From 3 to 35 is a 1,066.6667% increase

95 to 92
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From 95 to 92 is a 3.1579% decrease

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From 86 to 55 is a 36.0465% decrease

67 to 44
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From 67 to 44 is a 34.3284% decrease

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From 83 to 18 is a 78.3133% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 40 to 28

Going from 40 to 28 is a 30% decrease. Formula and steps.

Is going from 40 to 28 an increase or a decrease?

A decrease: the value fell by 12, which is 30% of the starting value.

What is the percentage change from 28 back to 40?

42.8571%. It is a different number because the starting value is now 28, not 40.