Sumwise

Percentage Difference between 40 and 90

Between 40 and 90: 76.9231% difference

Difference
76.9231%
Gap
50
Average
65
Ratio
2.25 : 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: |40 − 90| = 50
  2. Average of the values: (40 + 90) ÷ 2 = 65
  3. Divide the gap by the average and multiply by 100: 50 ÷ 65 × 100 = 76.9231%
  4. Check: Work backwards: 0.769231 × 65 = 50, the gap between the values.

In a spreadsheet: =ABS(40-90)/((40+90)/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

90 is 50 more than 40. Measured against their average, 65, that gap is 76.9231%. The result is the same whichever value you name first.

Prices: if one shop charges $40 and another $90 for the same item, the prices differ by 76.9231%.

Why the average is the base

Dividing the gap of 50 by 40 gives 125%, and dividing it by 90 gives 55.5556%. The average, 65, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
40 and 100

Between 40 and 100: 85.7143% difference

40 and 80

Between 40 and 80: 66.6667% difference

50 and 90

Between 50 and 90: 57.1429% difference

30 and 90

Between 30 and 90: 100% difference

The other way round: Percentage change from 40 to 90. Percentage difference is symmetric: between 90 and 40 it is the same 76.9231%, so there is one page for each pair of numbers. Percentage change is not: from 40 to 90 is +125%, from 90 to 40 is -55.5556%.

Practice

8 and 88
Show answer

Between 8 and 88: 166.6667% difference

77 and 96
Show answer

Between 77 and 96: 21.9653% difference

51 and 75
Show answer

Between 51 and 75: 38.0952% difference

38 and 81
Show answer

Between 38 and 81: 72.2689% difference

9 and 97
Show answer

Between 9 and 97: 166.0377% difference

18 and 31
Show answer

Between 18 and 31: 53.0612% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 40 and 90

The percentage difference between 40 and 90 is 76.9231%: the gap divided by the average. Formula and steps.

What is the percentage change from 40 to 90?

+125%. Percentage change uses the starting value (40) as the base, so it is larger than the percentage difference of 76.9231%.

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.