Sumwise

Percentage Change from 100 to 40

From 100 to 40 is a 60% decrease

Change
-60%
Difference
-60
New ÷ old
0.4
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: 40 − 100 = -60
  2. Divide by the starting value: -60 ÷ 100 = -0.6
  3. Multiply by 100: -60%
  4. Check: Work forwards from the start: 100 × (1 − 0.6) = 100 × 0.4 = 40.

In a spreadsheet: =(40-100)/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 40% of the old one: for every 100 at the start there are now 40, so 60 out of every 100 have gone.

Sales: a price cut from $100 to $40 is a 60% discount.

Why the change back is different

A 60% fall followed by a 60% rise does not bring you back to 100: it gives 64. The second percentage is taken of 40, not of 100, so to undo this change you need 150% instead.

Related results

Results for nearby numbers
100 to 38

From 100 to 38 is a 62% decrease

100 to 39

From 100 to 39 is a 61% decrease

100 to 41

From 100 to 41 is a 59% decrease

100 to 42

From 100 to 42 is a 58% decrease

100 to 50

From 100 to 50 is a 50% decrease

The other way round: Percentage change from 40 to 100. Percentage change is not symmetric: from 100 to 40 is -60%, but from 40 back to 100 is 150%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 40 and 100: 85.7143%. See Percentage difference between 40 and 100.

Practice

19 to 45
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From 19 to 45 is a 136.8421% increase

59 to 91
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From 59 to 91 is a 54.2373% increase

31 to 79
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From 31 to 79 is a 154.8387% increase

78 to 99
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From 78 to 99 is a 26.9231% increase

80 to 34
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From 80 to 34 is a 57.5% decrease

28 to 98
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From 28 to 98 is a 250% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 100 to 40

Going from 100 to 40 is a 60% decrease. Formula and steps.

Is going from 100 to 40 an increase or a decrease?

A decrease: the value fell by 60, which is 60% of the starting value.

What is the percentage change from 40 back to 100?

150%. It is a different number because the starting value is now 40, not 100.