Sumwise

Percentage Change from 55 to 42

From 55 to 42 is a 23.6364% decrease

Change
-23.6364%
Difference
-13
New ÷ old
0.763636
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 − 55 = -13
  2. Divide by the starting value: -13 ÷ 55 = -0.236364
  3. Multiply by 100: -23.6364%
  4. Check: Work forwards from the start: 55 × (1 − 0.236364) = 55 × 0.763636 = 42.

In a spreadsheet: =(42-55)/55*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 76.3636% of the old one: for every 100 at the start there are now 76.3636, so 23.6364 out of every 100 have gone.

Sales: a price cut from $55 to $42 is a 23.6364% discount.

Why the change back is different

A 23.6364% fall followed by a 23.6364% rise does not bring you back to 55: it gives 51.9273. The second percentage is taken of 42, not of 55, so to undo this change you need 30.9524% instead.

Related results

Results for nearby numbers
55 to 40

From 55 to 40 is a 27.2727% decrease

55 to 41

From 55 to 41 is a 25.4545% decrease

55 to 43

From 55 to 43 is a 21.8182% decrease

55 to 44

From 55 to 44 is a 20% decrease

55 to 52

From 55 to 52 is a 5.4545% decrease

The other way round: Percentage change from 42 to 55. Percentage change is not symmetric: from 55 to 42 is -23.6364%, but from 42 back to 55 is 30.9524%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 42 and 55: 26.8041%. See Percentage difference between 42 and 55.

Practice

11 to 48
Show answer

From 11 to 48 is a 336.3636% increase

85 to 16
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From 85 to 16 is a 81.1765% decrease

29 to 62
Show answer

From 29 to 62 is a 113.7931% increase

3 to 21
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From 3 to 21 is a 600% increase

74 to 62
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From 74 to 62 is a 16.2162% decrease

14 to 30
Show answer

From 14 to 30 is a 114.2857% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 55 to 42

Going from 55 to 42 is a 23.6364% decrease. Formula and steps.

Is going from 55 to 42 an increase or a decrease?

A decrease: the value fell by 13, which is 23.6364% of the starting value.

What is the percentage change from 42 back to 55?

30.9524%. It is a different number because the starting value is now 42, not 55.