Sumwise

Percentage Difference between 52 and 61

Between 52 and 61: 15.9292% difference

Difference
15.9292%
Gap
9
Average
56.5
Ratio
1.1731 : 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: |52 − 61| = 9
  2. Average of the values: (52 + 61) ÷ 2 = 56.5
  3. Divide the gap by the average and multiply by 100: 9 ÷ 56.5 × 100 = 15.9292%
  4. Check: Work backwards: 0.159292 × 56.5 = 9, the gap between the values.

In a spreadsheet: =ABS(52-61)/((52+61)/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

61 is 9 more than 52. Measured against their average, 56.5, that gap is 15.9292%. The result is the same whichever value you name first.

Prices: if one shop charges $52 and another $61 for the same item, the prices differ by 15.9292%.

Why the average is the base

Dividing the gap of 9 by 52 gives 17.3077%, and dividing it by 61 gives 14.7541%. The average, 56.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
52 and 71

Between 52 and 71: 30.8943% difference

42 and 61

Between 42 and 61: 36.8932% difference

The other way round: Percentage change from 52 to 61. Percentage difference is symmetric: between 61 and 52 it is the same 15.9292%, so there is one page for each pair of numbers. Percentage change is not: from 52 to 61 is +17.3077%, from 61 to 52 is -14.7541%.

Practice

8 and 11
Show answer

Between 8 and 11: 31.5789% difference

66 and 90
Show answer

Between 66 and 90: 30.7692% difference

68 and 87
Show answer

Between 68 and 87: 24.5161% difference

38 and 52
Show answer

Between 38 and 52: 31.1111% difference

10 and 58
Show answer

Between 10 and 58: 141.1765% difference

10 and 61
Show answer

Between 10 and 61: 143.662% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 52 and 61

The percentage difference between 52 and 61 is 15.9292%: the gap divided by the average. Formula and steps.

What is the percentage change from 52 to 61?

+17.3077%. Percentage change uses the starting value (52) as the base, so it is larger than the percentage difference of 15.9292%.

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.