Sumwise

Percentage Difference between 13 and 31

Between 13 and 31: 81.8182% difference

Difference
81.8182%
Gap
18
Average
22
Ratio
2.3846 : 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: |13 − 31| = 18
  2. Average of the values: (13 + 31) ÷ 2 = 22
  3. Divide the gap by the average and multiply by 100: 18 ÷ 22 × 100 = 81.8182%
  4. Check: Work backwards: 0.818182 × 22 = 18, the gap between the values.

In a spreadsheet: =ABS(13-31)/((13+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 18 more than 13. Measured against their average, 22, that gap is 81.8182%. The result is the same whichever value you name first.

Prices: if one shop charges $13 and another $31 for the same item, the prices differ by 81.8182%.

Why the average is the base

Dividing the gap of 18 by 13 gives 138.4615%, and dividing it by 31 gives 58.0645%. The average, 22, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
13 and 41

Between 13 and 41: 103.7037% difference

13 and 21

Between 13 and 21: 47.0588% difference

23 and 31

Between 23 and 31: 29.6296% difference

3 and 31

Between 3 and 31: 164.7059% difference

The other way round: Percentage change from 13 to 31. Percentage difference is symmetric: between 31 and 13 it is the same 81.8182%, so there is one page for each pair of numbers. Percentage change is not: from 13 to 31 is +138.4615%, from 31 to 13 is -58.0645%.

Practice

3 and 77
Show answer

Between 3 and 77: 185% difference

32 and 80
Show answer

Between 32 and 80: 85.7143% difference

40 and 70
Show answer

Between 40 and 70: 54.5455% difference

14 and 77
Show answer

Between 14 and 77: 138.4615% difference

31 and 79
Show answer

Between 31 and 79: 87.2727% difference

47 and 76
Show answer

Between 47 and 76: 47.1545% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 13 and 31

The percentage difference between 13 and 31 is 81.8182%: the gap divided by the average. Formula and steps.

What is the percentage change from 13 to 31?

+138.4615%. Percentage change uses the starting value (13) as the base, so it is larger than the percentage difference of 81.8182%.

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.