Sumwise

Percentage Difference between 18 and 31

Between 18 and 31: 53.0612% difference

Difference
53.0612%
Gap
13
Average
24.5
Ratio
1.7222 : 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: |18 − 31| = 13
  2. Average of the values: (18 + 31) ÷ 2 = 24.5
  3. Divide the gap by the average and multiply by 100: 13 ÷ 24.5 × 100 = 53.0612%
  4. Check: Work backwards: 0.530612 × 24.5 = 13, the gap between the values.

In a spreadsheet: =ABS(18-31)/((18+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 13 more than 18. Measured against their average, 24.5, that gap is 53.0612%. The result is the same whichever value you name first.

Prices: if one shop charges $18 and another $31 for the same item, the prices differ by 53.0612%.

Why the average is the base

Dividing the gap of 13 by 18 gives 72.2222%, and dividing it by 31 gives 41.9355%. The average, 24.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
18 and 41

Between 18 and 41: 77.9661% difference

18 and 21

Between 18 and 21: 15.3846% difference

28 and 31

Between 28 and 31: 10.1695% difference

8 and 31

Between 8 and 31: 117.9487% difference

The other way round: Percentage change from 18 to 31. Percentage difference is symmetric: between 31 and 18 it is the same 53.0612%, so there is one page for each pair of numbers. Percentage change is not: from 18 to 31 is +72.2222%, from 31 to 18 is -41.9355%.

Practice

4 and 16
Show answer

Between 4 and 16: 120% difference

60 and 96
Show answer

Between 60 and 96: 46.1538% difference

36 and 94
Show answer

Between 36 and 94: 89.2308% difference

53 and 87
Show answer

Between 53 and 87: 48.5714% difference

14 and 88
Show answer

Between 14 and 88: 145.098% difference

21 and 74
Show answer

Between 21 and 74: 111.5789% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 18 and 31

The percentage difference between 18 and 31 is 53.0612%: the gap divided by the average. Formula and steps.

What is the percentage change from 18 to 31?

+72.2222%. Percentage change uses the starting value (18) as the base, so it is larger than the percentage difference of 53.0612%.

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.