Sumwise

Percentage Change from 79 to 42

From 79 to 42 is a 46.8354% decrease

Change
-46.8354%
Difference
-37
New ÷ old
0.531646
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 − 79 = -37
  2. Divide by the starting value: -37 ÷ 79 = -0.468354
  3. Multiply by 100: -46.8354%
  4. Check: Work forwards from the start: 79 × (1 − 0.468354) = 79 × 0.531646 = 42.

In a spreadsheet: =(42-79)/79*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 53.1646% of the old one: for every 100 at the start there are now 53.1646, so 46.8354 out of every 100 have gone.

Sales: a price cut from $79 to $42 is a 46.8354% discount.

Why the change back is different

A 46.8354% fall followed by a 46.8354% rise does not bring you back to 79: it gives 61.6709. The second percentage is taken of 42, not of 79, so to undo this change you need 88.0952% instead.

Related results

Results for nearby numbers
79 to 40

From 79 to 40 is a 49.3671% decrease

79 to 41

From 79 to 41 is a 48.1013% decrease

79 to 43

From 79 to 43 is a 45.5696% decrease

79 to 44

From 79 to 44 is a 44.3038% decrease

79 to 52

From 79 to 52 is a 34.1772% decrease

The other way round: Percentage change from 42 to 79. Percentage change is not symmetric: from 79 to 42 is -46.8354%, but from 42 back to 79 is 88.0952%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 42 and 79: 61.157%. See Percentage difference between 42 and 79.

Practice

16 to 63
Show answer

From 16 to 63 is a 293.75% increase

34 to 21
Show answer

From 34 to 21 is a 38.2353% decrease

46 to 56
Show answer

From 46 to 56 is a 21.7391% increase

44 to 65
Show answer

From 44 to 65 is a 47.7273% increase

53 to 12
Show answer

From 53 to 12 is a 77.3585% decrease

42 to 65
Show answer

From 42 to 65 is a 54.7619% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 79 to 42

Going from 79 to 42 is a 46.8354% decrease. Formula and steps.

Is going from 79 to 42 an increase or a decrease?

A decrease: the value fell by 37, which is 46.8354% of the starting value.

What is the percentage change from 42 back to 79?

88.0952%. It is a different number because the starting value is now 42, not 79.