Sumwise

Percentage Change from 42 to 8

From 42 to 8 is a 80.9524% decrease

Change
-80.9524%
Difference
-34
New ÷ old
0.190476
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: 8 − 42 = -34
  2. Divide by the starting value: -34 ÷ 42 = -0.809524
  3. Multiply by 100: -80.9524%
  4. Check: Work forwards from the start: 42 × (1 − 0.809524) = 42 × 0.190476 = 8.

In a spreadsheet: =(8-42)/42*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 19.0476% of the old one: for every 100 at the start there are now 19.0476, so 80.9524 out of every 100 have gone.

Sales: a price cut from $42 to $8 is a 80.9524% discount.

Why the change back is different

A 80.9524% fall followed by a 80.9524% rise does not bring you back to 42: it gives 14.4762. The second percentage is taken of 8, not of 42, so to undo this change you need 425% instead.

Related results

Results for nearby numbers
42 to 6

From 42 to 6 is a 85.7143% decrease

42 to 7

From 42 to 7 is a 83.3333% decrease

42 to 9

From 42 to 9 is a 78.5714% decrease

42 to 10

From 42 to 10 is a 76.1905% decrease

42 to 18

From 42 to 18 is a 57.1429% decrease

The other way round: Percentage change from 8 to 42. Percentage change is not symmetric: from 42 to 8 is -80.9524%, but from 8 back to 42 is 425%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 8 and 42: 136%. See Percentage difference between 8 and 42.

Practice

9 to 32
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From 9 to 32 is a 255.5556% increase

57 to 72
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From 57 to 72 is a 26.3158% increase

27 to 77
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From 27 to 77 is a 185.1852% increase

59 to 47
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From 59 to 47 is a 20.339% decrease

52 to 49
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From 52 to 49 is a 5.7692% decrease

90 to 99
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From 90 to 99 is a 10% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 42 to 8

Going from 42 to 8 is a 80.9524% decrease. Formula and steps.

Is going from 42 to 8 an increase or a decrease?

A decrease: the value fell by 34, which is 80.9524% of the starting value.

What is the percentage change from 8 back to 42?

425%. It is a different number because the starting value is now 8, not 42.