Sumwise

Percentage Change from 80 to 20

From 80 to 20 is a 75% decrease

Change
-75%
Difference
-60
New ÷ old
0.25
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 − 80 = -60
  2. Divide by the starting value: -60 ÷ 80 = -0.75
  3. Multiply by 100: -75%
  4. Check: Work forwards from the start: 80 × (1 − 0.75) = 80 × 0.25 = 20.

In a spreadsheet: =(20-80)/80*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 25% of the old one: for every 100 at the start there are now 25, so 75 out of every 100 have gone.

Sales: a price cut from $80 to $20 is a 75% discount.

Why the change back is different

A 75% fall followed by a 75% rise does not bring you back to 80: it gives 35. The second percentage is taken of 20, not of 80, so to undo this change you need 300% instead.

Related results

Results for nearby numbers
80 to 18

From 80 to 18 is a 77.5% decrease

80 to 19

From 80 to 19 is a 76.25% decrease

80 to 21

From 80 to 21 is a 73.75% decrease

80 to 22

From 80 to 22 is a 72.5% decrease

80 to 30

From 80 to 30 is a 62.5% decrease

The other way round: Percentage change from 20 to 80. Percentage change is not symmetric: from 80 to 20 is -75%, but from 20 back to 80 is 300%, because the starting value is the base. For a comparison that is the same both ways, use the percentage difference between 20 and 80: 120%. See Percentage difference between 20 and 80.

Practice

15 to 38
Show answer

From 15 to 38 is a 153.3333% increase

47 to 8
Show answer

From 47 to 8 is a 82.9787% decrease

82 to 52
Show answer

From 82 to 52 is a 36.5854% decrease

24 to 48
Show answer

From 24 to 48 is a 100% increase

55 to 80
Show answer

From 55 to 80 is a 45.4545% increase

59 to 5
Show answer

From 59 to 5 is a 91.5254% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Change from 80 to 20

Going from 80 to 20 is a 75% decrease. Formula and steps.

Is going from 80 to 20 an increase or a decrease?

A decrease: the value fell by 60, which is 75% of the starting value.

What is the percentage change from 20 back to 80?

300%. It is a different number because the starting value is now 20, not 80.