Sumwise

What is the Percentage Difference from 80 to 71?

From 80 to 71 is a 11.25% decrease

Change
-11.25%
Difference
-9
New ÷ old
0.8875
Direction
decrease

Sumwise · Checked by Theo Abbott · Data: exact arithmetic; unit definitions from NIST SP 811 · Updated · How we check it

How to work it out

  1. Difference: 71 − 80 = -9
  2. Divide by the starting value: -9 ÷ 80 = -0.1125
  3. Multiply by 100: -11.25%
  4. Check: Work forwards from the start: 80 × (1 − 0.1125) = 80 × 0.8875 = 71.

In a spreadsheet: =(71-80)/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 88.75% of the old one: for every 100 at the start there are now 88.75, so 11.25 out of every 100 have gone.

Sales: a price cut from $80 to $71 is a 11.25% discount.

Why the change back is different

A 11.25% fall followed by a 11.25% rise does not bring you back to 80: it gives 78.9875. The second percentage is taken of 71, not of 80, so to undo this change you need 12.6761% instead.

Related results

Results for nearby numbers
80 to 69

From 80 to 69 is a 13.75% decrease

80 to 70

From 80 to 70 is a 12.5% decrease

80 to 72

From 80 to 72 is a 10% decrease

80 to 73

From 80 to 73 is a 8.75% decrease

80 to 81

From 80 to 81 is a 1.25% increase

The other way round: Percentage difference from 71 to 80

Practice

16 to 58
Show answer

From 16 to 58 is a 262.5% increase

59 to 29
Show answer

From 59 to 29 is a 50.8475% decrease

7 to 79
Show answer

From 7 to 79 is a 1,028.5714% increase

77 to 89
Show answer

From 77 to 89 is a 15.5844% increase

67 to 69
Show answer

From 67 to 69 is a 2.9851% increase

73 to 68
Show answer

From 73 to 68 is a 6.8493% decrease

Calculate another

How answers are calculated and checked: methodology.

Questions

What is the Percentage Difference from 80 to 71?

Going from 80 to 71 is a 11.25% decrease. Formula and steps.

Is going from 80 to 71 an increase or a decrease?

A decrease: the value fell by 9, which is 11.25% of the starting value.

What is the percentage change from 71 back to 80?

12.6761%. It is a different number because the starting value is now 71, not 80.