Sumwise

Percentage Change from 68 to 42

From 68 to 42 is a 38.2353% decrease

Change
-38.2353%
Difference
-26
New ÷ old
0.617647
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: 42 − 68 = -26
  2. Divide by the starting value: -26 ÷ 68 = -0.382353
  3. Multiply by 100: -38.2353%
  4. Check: Work forwards from the start: 68 × (1 − 0.382353) = 68 × 0.617647 = 42.

In a spreadsheet: =(42-68)/68*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 61.7647% of the old one: for every 100 at the start there are now 61.7647, so 38.2353 out of every 100 have gone.

Sales: a price cut from $68 to $42 is a 38.2353% discount.

Why the change back is different

A 38.2353% fall followed by a 38.2353% rise does not bring you back to 68: it gives 58.0588. The second percentage is taken of 42, not of 68, so to undo this change you need 61.9048% instead.

Related results

Results for nearby numbers
68 to 40

From 68 to 40 is a 41.1765% decrease

68 to 41

From 68 to 41 is a 39.7059% decrease

68 to 43

From 68 to 43 is a 36.7647% decrease

68 to 44

From 68 to 44 is a 35.2941% decrease

68 to 52

From 68 to 52 is a 23.5294% decrease

The other way round: Percentage change from 42 to 68. Percentage change is not symmetric: from 68 to 42 is -38.2353%, but from 42 back to 68 is 61.9048%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 42 and 68: 47.2727%. See Percentage difference between 42 and 68.

Practice

13 to 85
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From 13 to 85 is a 553.8462% increase

49 to 31
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From 49 to 31 is a 36.7347% decrease

77 to 56
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From 77 to 56 is a 27.2727% decrease

1 to 63
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From 1 to 63 is a 6,200% increase

91 to 53
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From 91 to 53 is a 41.7582% decrease

29 to 37
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From 29 to 37 is a 27.5862% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 68 to 42

Going from 68 to 42 is a 38.2353% decrease. Formula and steps.

Is going from 68 to 42 an increase or a decrease?

A decrease: the value fell by 26, which is 38.2353% of the starting value.

What is the percentage change from 42 back to 68?

61.9048%. It is a different number because the starting value is now 42, not 68.