Sumwise

Percentage Difference between 16 and 31

Between 16 and 31: 63.8298% difference

Difference
63.8298%
Gap
15
Average
23.5
Ratio
1.9375 : 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: |16 − 31| = 15
  2. Average of the values: (16 + 31) ÷ 2 = 23.5
  3. Divide the gap by the average and multiply by 100: 15 ÷ 23.5 × 100 = 63.8298%
  4. Check: Work backwards: 0.638298 × 23.5 = 15, the gap between the values.

In a spreadsheet: =ABS(16-31)/((16+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 15 more than 16. Measured against their average, 23.5, that gap is 63.8298%. The result is the same whichever value you name first.

Prices: if one shop charges $16 and another $31 for the same item, the prices differ by 63.8298%.

Why the average is the base

Dividing the gap of 15 by 16 gives 93.75%, and dividing it by 31 gives 48.3871%. The average, 23.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
16 and 41

Between 16 and 41: 87.7193% difference

16 and 21

Between 16 and 21: 27.027% difference

26 and 31

Between 26 and 31: 17.5439% difference

6 and 31

Between 6 and 31: 135.1351% difference

The other way round: Percentage change from 16 to 31. Percentage difference is symmetric: between 31 and 16 it is the same 63.8298%, so there is one page for each pair of numbers. Percentage change is not: from 16 to 31 is +93.75%, from 31 to 16 is -48.3871%.

Practice

4 and 18
Show answer

Between 4 and 18: 127.2727% difference

79 and 91
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Between 79 and 91: 14.1176% difference

9 and 73
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Between 9 and 73: 156.0976% difference

49 and 93
Show answer

Between 49 and 93: 61.9718% difference

62 and 89
Show answer

Between 62 and 89: 35.7616% difference

5 and 34
Show answer

Between 5 and 34: 148.7179% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 16 and 31

The percentage difference between 16 and 31 is 63.8298%: the gap divided by the average. Formula and steps.

What is the percentage change from 16 to 31?

+93.75%. Percentage change uses the starting value (16) as the base, so it is larger than the percentage difference of 63.8298%.

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.