Sumwise

Percentage Difference between 10 and 31

Between 10 and 31: 102.439% difference

Difference
102.439%
Gap
21
Average
20.5
Ratio
3.1 : 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: |10 − 31| = 21
  2. Average of the values: (10 + 31) ÷ 2 = 20.5
  3. Divide the gap by the average and multiply by 100: 21 ÷ 20.5 × 100 = 102.439%
  4. Check: Work backwards: 1.02439 × 20.5 = 21, the gap between the values.

In a spreadsheet: =ABS(10-31)/((10+31)/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

31 is 21 more than 10. Measured against their average, 20.5, that gap is 102.439%. The result is the same whichever value you name first.

Prices: if one shop charges $10 and another $31 for the same item, the prices differ by 102.439%.

Why the average is the base

Dividing the gap of 21 by 10 gives 210%, and dividing it by 31 gives 67.7419%. The average, 20.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
10 and 41

Between 10 and 41: 121.5686% difference

10 and 21

Between 10 and 21: 70.9677% difference

20 and 31

Between 20 and 31: 43.1373% difference

The other way round: Percentage change from 10 to 31. Percentage difference is symmetric: between 31 and 10 it is the same 102.439%, so there is one page for each pair of numbers. Percentage change is not: from 10 to 31 is +210%, from 31 to 10 is -67.7419%.

Practice

3 and 38
Show answer

Between 3 and 38: 170.7317% difference

55 and 90
Show answer

Between 55 and 90: 48.2759% difference

71 and 90
Show answer

Between 71 and 90: 23.6025% difference

4 and 75
Show answer

Between 4 and 75: 179.7468% difference

27 and 67
Show answer

Between 27 and 67: 85.1064% difference

45 and 68
Show answer

Between 45 and 68: 40.708% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 10 and 31

The percentage difference between 10 and 31 is 102.439%: the gap divided by the average. Formula and steps.

What is the percentage change from 10 to 31?

+210%. Percentage change uses the starting value (10) as the base, so it is larger than the percentage difference of 102.439%.

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.