Sumwise

Percentage Difference between 78 and 87

Between 78 and 87: 10.9091% difference

Difference
10.9091%
Gap
9
Average
82.5
Ratio
1.1154 : 1

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. Gap between the values: |78 − 87| = 9
  2. Average of the values: (78 + 87) ÷ 2 = 82.5
  3. Divide the gap by the average and multiply by 100: 9 ÷ 82.5 × 100 = 10.9091%
  4. Check: Work backwards: 0.109091 × 82.5 = 9, the gap between the values.

In a spreadsheet: =ABS(78-87)/((78+87)/2)*100. Dividing by one of the values instead of their average turns it into a percentage change, which depends on which value you start from.

What the result means

87 is 9 more than 78. Measured against their average, 82.5, that gap is 10.9091%. The result is the same whichever value you name first.

Prices: if one shop charges $78 and another $87 for the same item, the prices differ by 10.9091%.

Why the average is the base

Dividing the gap of 9 by 78 gives 11.5385%, and dividing it by 87 gives 10.3448%. The average, 82.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
78 and 97

Between 78 and 97: 21.7143% difference

68 and 87

Between 68 and 87: 24.5161% difference

The other way round: Percentage change from 78 to 87. Percentage difference is symmetric: between 87 and 78 it is the same 10.9091%, so there is one page for each pair of numbers. Percentage change is not: from 78 to 87 is +11.5385%, from 87 to 78 is -10.3448%.

Practice

15 and 42
Show answer

Between 15 and 42: 94.7368% difference

7 and 30
Show answer

Between 7 and 30: 124.3243% difference

57 and 58
Show answer

Between 57 and 58: 1.7391% difference

14 and 84
Show answer

Between 14 and 84: 142.8571% difference

36 and 99
Show answer

Between 36 and 99: 93.3333% difference

17 and 80
Show answer

Between 17 and 80: 129.8969% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 78 and 87

The percentage difference between 78 and 87 is 10.9091%: the gap divided by the average. Formula and steps.

What is the percentage change from 78 to 87?

+11.5385%. Percentage change uses the starting value (78) as the base, so it is larger than the percentage difference of 10.9091%.

What is the difference between percentage difference and percentage change?

Percentage change compares a new value with an old one and divides by the old value. Percentage difference compares two values on an equal footing and divides by their average, so the order does not matter.