Sumwise

Percentage Change from 42 to 6

From 42 to 6 is a 85.7143% decrease

Change
-85.7143%
Difference
-36
New ÷ old
0.142857
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: 6 − 42 = -36
  2. Divide by the starting value: -36 ÷ 42 = -0.857143
  3. Multiply by 100: -85.7143%
  4. Check: Work forwards from the start: 42 × (1 − 0.857143) = 42 × 0.142857 = 6.

In a spreadsheet: =(6-42)/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 14.2857% of the old one: for every 100 at the start there are now 14.2857, so 85.7143 out of every 100 have gone.

Sales: a price cut from $42 to $6 is a 85.7143% discount.

Why the change back is different

A 85.7143% fall followed by a 85.7143% rise does not bring you back to 42: it gives 11.1429. The second percentage is taken of 6, not of 42, so to undo this change you need 600% instead.

Related results

Results for nearby numbers
42 to 4

From 42 to 4 is a 90.4762% decrease

42 to 5

From 42 to 5 is a 88.0952% decrease

42 to 7

From 42 to 7 is a 83.3333% decrease

42 to 8

From 42 to 8 is a 80.9524% decrease

42 to 16

From 42 to 16 is a 61.9048% decrease

The other way round: Percentage change from 6 to 42. Percentage change is not symmetric: from 42 to 6 is -85.7143%, but from 6 back to 42 is 600%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 6 and 42: 150%. See Percentage difference between 6 and 42.

Practice

9 to 35
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From 9 to 35 is a 288.8889% increase

72 to 85
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From 72 to 85 is a 18.0556% increase

65 to 95
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From 65 to 95 is a 46.1538% increase

49 to 16
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From 49 to 16 is a 67.3469% decrease

80 to 19
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From 80 to 19 is a 76.25% decrease

68 to 2
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From 68 to 2 is a 97.0588% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 42 to 6

Going from 42 to 6 is a 85.7143% decrease. Formula and steps.

Is going from 42 to 6 an increase or a decrease?

A decrease: the value fell by 36, which is 85.7143% of the starting value.

What is the percentage change from 6 back to 42?

600%. It is a different number because the starting value is now 6, not 42.