Sumwise

Percentage Change from 60 to 20

From 60 to 20 is a 66.6667% decrease

Change
-66.6667%
Difference
-40
New ÷ old
0.333333
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: 20 − 60 = -40
  2. Divide by the starting value: -40 ÷ 60 = -0.666667
  3. Multiply by 100: -66.6667%
  4. Check: Work forwards from the start: 60 × (1 − 0.666667) = 60 × 0.333333 = 20.

In a spreadsheet: =(20-60)/60*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 33.3333% of the old one: for every 100 at the start there are now 33.3333, so 66.6667 out of every 100 have gone.

Sales: a price cut from $60 to $20 is a 66.6667% discount.

Why the change back is different

A 66.6667% fall followed by a 66.6667% rise does not bring you back to 60: it gives 33.3333. The second percentage is taken of 20, not of 60, so to undo this change you need 200% instead.

Related results

Results for nearby numbers
60 to 18

From 60 to 18 is a 70% decrease

60 to 19

From 60 to 19 is a 68.3333% decrease

60 to 21

From 60 to 21 is a 65% decrease

60 to 22

From 60 to 22 is a 63.3333% decrease

60 to 30

From 60 to 30 is a 50% decrease

The other way round: Percentage change from 20 to 60. Percentage change is not symmetric: from 60 to 20 is -66.6667%, but from 20 back to 60 is 200%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 20 and 60: 100%. See Percentage difference between 20 and 60.

Practice

12 to 36
Show answer

From 12 to 36 is a 200% increase

46 to 81
Show answer

From 46 to 81 is a 76.087% increase

82 to 84
Show answer

From 82 to 84 is a 2.439% increase

18 to 20
Show answer

From 18 to 20 is a 11.1111% increase

36 to 8
Show answer

From 36 to 8 is a 77.7778% decrease

56 to 48
Show answer

From 56 to 48 is a 14.2857% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 60 to 20

Going from 60 to 20 is a 66.6667% decrease. Formula and steps.

Is going from 60 to 20 an increase or a decrease?

A decrease: the value fell by 40, which is 66.6667% of the starting value.

What is the percentage change from 20 back to 60?

200%. It is a different number because the starting value is now 20, not 60.