Sumwise

Percentage Change from 100 to 60

From 100 to 60 is a 40% decrease

Change
-40%
Difference
-40
New ÷ old
0.6
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: 60 − 100 = -40
  2. Divide by the starting value: -40 ÷ 100 = -0.4
  3. Multiply by 100: -40%
  4. Check: Work forwards from the start: 100 × (1 − 0.4) = 100 × 0.6 = 60.

In a spreadsheet: =(60-100)/100*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 60% of the old one: for every 100 at the start there are now 60, so 40 out of every 100 have gone.

Sales: a price cut from $100 to $60 is a 40% discount.

Why the change back is different

A 40% fall followed by a 40% rise does not bring you back to 100: it gives 84. The second percentage is taken of 60, not of 100, so to undo this change you need 66.6667% instead.

Related results

Results for nearby numbers
100 to 58

From 100 to 58 is a 42% decrease

100 to 59

From 100 to 59 is a 41% decrease

100 to 61

From 100 to 61 is a 39% decrease

100 to 62

From 100 to 62 is a 38% decrease

100 to 70

From 100 to 70 is a 30% decrease

The other way round: Percentage change from 60 to 100. Percentage change is not symmetric: from 100 to 60 is -40%, but from 60 back to 100 is 66.6667%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 60 and 100: 50%. See Percentage difference between 60 and 100.

Practice

19 to 3
Show answer

From 19 to 3 is a 84.2105% decrease

67 to 69
Show answer

From 67 to 69 is a 2.9851% increase

15 to 61
Show answer

From 15 to 61 is a 306.6667% increase

4 to 56
Show answer

From 4 to 56 is a 1,300% increase

26 to 30
Show answer

From 26 to 30 is a 15.3846% increase

48 to 28
Show answer

From 48 to 28 is a 41.6667% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 100 to 60

Going from 100 to 60 is a 40% decrease. Formula and steps.

Is going from 100 to 60 an increase or a decrease?

A decrease: the value fell by 40, which is 40% of the starting value.

What is the percentage change from 60 back to 100?

66.6667%. It is a different number because the starting value is now 60, not 100.