Sumwise

Percentage Change from 65 to 42

From 65 to 42 is a 35.3846% decrease

Change
-35.3846%
Difference
-23
New ÷ old
0.646154
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 − 65 = -23
  2. Divide by the starting value: -23 ÷ 65 = -0.353846
  3. Multiply by 100: -35.3846%
  4. Check: Work forwards from the start: 65 × (1 − 0.353846) = 65 × 0.646154 = 42.

In a spreadsheet: =(42-65)/65*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 64.6154% of the old one: for every 100 at the start there are now 64.6154, so 35.3846 out of every 100 have gone.

Sales: a price cut from $65 to $42 is a 35.3846% discount.

Why the change back is different

A 35.3846% fall followed by a 35.3846% rise does not bring you back to 65: it gives 56.8615. The second percentage is taken of 42, not of 65, so to undo this change you need 54.7619% instead.

Related results

Results for nearby numbers
65 to 40

From 65 to 40 is a 38.4615% decrease

65 to 41

From 65 to 41 is a 36.9231% decrease

65 to 43

From 65 to 43 is a 33.8462% decrease

65 to 44

From 65 to 44 is a 32.3077% decrease

65 to 52

From 65 to 52 is a 20% decrease

The other way round: Percentage change from 42 to 65. Percentage change is not symmetric: from 65 to 42 is -35.3846%, but from 42 back to 65 is 54.7619%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 42 and 65: 42.9907%. See Percentage difference between 42 and 65.

Practice

13 to 40
Show answer

From 13 to 40 is a 207.6923% increase

60 to 49
Show answer

From 60 to 49 is a 18.3333% decrease

78 to 91
Show answer

From 78 to 91 is a 16.6667% increase

71 to 73
Show answer

From 71 to 73 is a 2.8169% increase

79 to 81
Show answer

From 79 to 81 is a 2.5316% increase

66 to 81
Show answer

From 66 to 81 is a 22.7273% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 65 to 42

Going from 65 to 42 is a 35.3846% decrease. Formula and steps.

Is going from 65 to 42 an increase or a decrease?

A decrease: the value fell by 23, which is 35.3846% of the starting value.

What is the percentage change from 42 back to 65?

54.7619%. It is a different number because the starting value is now 42, not 65.