Percentage Difference between 23 and 31
Between 23 and 31: 29.6296% difference
- Difference
- 29.6296%
- Gap
- 8
- Average
- 27
- Ratio
- 1.3478 : 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
- Gap between the values: |23 − 31| = 8
- Average of the values: (23 + 31) ÷ 2 = 27
- Divide the gap by the average and multiply by 100: 8 ÷ 27 × 100 = 29.6296%
- Check: Work backwards: 0.296296 × 27 = 8, the gap between the values.
In a spreadsheet: =ABS(23-31)/((23+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 8 more than 23. Measured against their average, 27, that gap is 29.6296%. The result is the same whichever value you name first.
Prices: if one shop charges $23 and another $31 for the same item, the prices differ by 29.6296%.
Why the average is the base
Dividing the gap of 8 by 23 gives 34.7826%, and dividing it by 31 gives 25.8065%. The average, 27, sits between them, so the result does not depend on which value is listed first.
Related results
| 23 and 41 | Between 23 and 41: 56.25% difference |
| 13 and 31 | Between 13 and 31: 81.8182% difference |
The other way round: Percentage change from 23 to 31. Percentage difference is symmetric: between 31 and 23 it is the same 29.6296%, so there is one page for each pair of numbers. Percentage change is not: from 23 to 31 is +34.7826%, from 31 to 23 is -25.8065%.
Practice
| 5 and 72 | Show answerBetween 5 and 72: 174.026% difference |
| 6 and 76 | Show answerBetween 6 and 76: 170.7317% difference |
| 77 and 87 | Show answerBetween 77 and 87: 12.1951% difference |
| 39 and 91 | Show answerBetween 39 and 91: 80% difference |
| 2 and 10 | Show answerBetween 2 and 10: 133.3333% difference |
| 56 and 73 | Show answerBetween 56 and 73: 26.3566% difference |
How answers are calculated and checked: methodology.
Questions
Percentage Difference between 23 and 31
The percentage difference between 23 and 31 is 29.6296%: the gap divided by the average. Formula and steps.
What is the percentage change from 23 to 31?
+34.7826%. Percentage change uses the starting value (23) as the base, so it is larger than the percentage difference of 29.6296%.
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.