Sumwise

Percentage Change from 42 to 16

From 42 to 16 is a 61.9048% decrease

Change
-61.9048%
Difference
-26
New ÷ old
0.380952
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: 16 − 42 = -26
  2. Divide by the starting value: -26 ÷ 42 = -0.619048
  3. Multiply by 100: -61.9048%
  4. Check: Work forwards from the start: 42 × (1 − 0.619048) = 42 × 0.380952 = 16.

In a spreadsheet: =(16-42)/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 38.0952% of the old one: for every 100 at the start there are now 38.0952, so 61.9048 out of every 100 have gone.

Sales: a price cut from $42 to $16 is a 61.9048% discount.

Why the change back is different

A 61.9048% fall followed by a 61.9048% rise does not bring you back to 42: it gives 25.9048. The second percentage is taken of 16, not of 42, so to undo this change you need 162.5% instead.

Related results

Results for nearby numbers
42 to 14

From 42 to 14 is a 66.6667% decrease

42 to 15

From 42 to 15 is a 64.2857% decrease

42 to 17

From 42 to 17 is a 59.5238% decrease

42 to 18

From 42 to 18 is a 57.1429% decrease

42 to 26

From 42 to 26 is a 38.0952% decrease

The other way round: Percentage change from 16 to 42. Percentage change is not symmetric: from 42 to 16 is -61.9048%, but from 16 back to 42 is 162.5%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 16 and 42: 89.6552%. See Percentage difference between 16 and 42.

Practice

8 to 69
Show answer

From 8 to 69 is a 762.5% increase

43 to 8
Show answer

From 43 to 8 is a 81.3953% decrease

88 to 79
Show answer

From 88 to 79 is a 10.2273% decrease

36 to 45
Show answer

From 36 to 45 is a 25% increase

36 to 60
Show answer

From 36 to 60 is a 66.6667% increase

7 to 88
Show answer

From 7 to 88 is a 1,157.1429% increase

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 42 to 16

Going from 42 to 16 is a 61.9048% decrease. Formula and steps.

Is going from 42 to 16 an increase or a decrease?

A decrease: the value fell by 26, which is 61.9048% of the starting value.

What is the percentage change from 16 back to 42?

162.5%. It is a different number because the starting value is now 16, not 42.