Sumwise

Percentage Difference between 31 and 49

Between 31 and 49: 45% difference

Difference
45%
Gap
18
Average
40
Ratio
1.5806 : 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: |31 − 49| = 18
  2. Average of the values: (31 + 49) ÷ 2 = 40
  3. Divide the gap by the average and multiply by 100: 18 ÷ 40 × 100 = 45%
  4. Check: Work backwards: 0.45 × 40 = 18, the gap between the values.

In a spreadsheet: =ABS(31-49)/((31+49)/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

49 is 18 more than 31. Measured against their average, 40, that gap is 45%. The result is the same whichever value you name first.

Prices: if one shop charges $31 and another $49 for the same item, the prices differ by 45%.

Why the average is the base

Dividing the gap of 18 by 31 gives 58.0645%, and dividing it by 49 gives 36.7347%. The average, 40, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
31 and 59

Between 31 and 59: 62.2222% difference

31 and 39

Between 31 and 39: 22.8571% difference

41 and 49

Between 41 and 49: 17.7778% difference

21 and 49

Between 21 and 49: 80% difference

The other way round: Percentage change from 31 to 49. Percentage difference is symmetric: between 49 and 31 it is the same 45%, so there is one page for each pair of numbers. Percentage change is not: from 31 to 49 is +58.0645%, from 49 to 31 is -36.7347%.

Practice

7 and 84
Show answer

Between 7 and 84: 169.2308% difference

32 and 52
Show answer

Between 32 and 52: 47.619% difference

1 and 17
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Between 1 and 17: 177.7778% difference

33 and 44
Show answer

Between 33 and 44: 28.5714% difference

13 and 73
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Between 13 and 73: 139.5349% difference

56 and 80
Show answer

Between 56 and 80: 35.2941% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 31 and 49

The percentage difference between 31 and 49 is 45%: the gap divided by the average. Formula and steps.

What is the percentage change from 31 to 49?

+58.0645%. Percentage change uses the starting value (31) as the base, so it is larger than the percentage difference of 45%.

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.