Sumwise

Percentage Change from 66 to 42

From 66 to 42 is a 36.3636% decrease

Change
-36.3636%
Difference
-24
New ÷ old
0.636364
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 − 66 = -24
  2. Divide by the starting value: -24 ÷ 66 = -0.363636
  3. Multiply by 100: -36.3636%
  4. Check: Work forwards from the start: 66 × (1 − 0.363636) = 66 × 0.636364 = 42.

In a spreadsheet: =(42-66)/66*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 63.6364% of the old one: for every 100 at the start there are now 63.6364, so 36.3636 out of every 100 have gone.

Sales: a price cut from $66 to $42 is a 36.3636% discount.

Why the change back is different

A 36.3636% fall followed by a 36.3636% rise does not bring you back to 66: it gives 57.2727. The second percentage is taken of 42, not of 66, so to undo this change you need 57.1429% instead.

Related results

Results for nearby numbers
66 to 40

From 66 to 40 is a 39.3939% decrease

66 to 41

From 66 to 41 is a 37.8788% decrease

66 to 43

From 66 to 43 is a 34.8485% decrease

66 to 44

From 66 to 44 is a 33.3333% decrease

66 to 52

From 66 to 52 is a 21.2121% decrease

The other way round: Percentage change from 42 to 66. Percentage change is not symmetric: from 66 to 42 is -36.3636%, but from 42 back to 66 is 57.1429%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 42 and 66: 44.4444%. See Percentage difference between 42 and 66.

Practice

14 to 88
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From 14 to 88 is a 528.5714% increase

58 to 36
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From 58 to 36 is a 37.931% decrease

26 to 98
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From 26 to 98 is a 276.9231% increase

37 to 70
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From 37 to 70 is a 89.1892% increase

55 to 38
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From 55 to 38 is a 30.9091% decrease

81 to 69
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From 81 to 69 is a 14.8148% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 66 to 42

Going from 66 to 42 is a 36.3636% decrease. Formula and steps.

Is going from 66 to 42 an increase or a decrease?

A decrease: the value fell by 24, which is 36.3636% of the starting value.

What is the percentage change from 42 back to 66?

57.1429%. It is a different number because the starting value is now 42, not 66.