Sumwise

Percentage Difference between 51 and 52

Between 51 and 52: 1.9417% difference

Difference
1.9417%
Gap
1
Average
51.5
Ratio
1.0196 : 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: |51 − 52| = 1
  2. Average of the values: (51 + 52) ÷ 2 = 51.5
  3. Divide the gap by the average and multiply by 100: 1 ÷ 51.5 × 100 = 1.9417%
  4. Check: Work backwards: 0.019417 × 51.5 = 1, the gap between the values.

In a spreadsheet: =ABS(51-52)/((51+52)/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

52 is 1 more than 51. Measured against their average, 51.5, that gap is 1.9417%. The result is the same whichever value you name first.

Prices: if one shop charges $51 and another $52 for the same item, the prices differ by 1.9417%.

Why the average is the base

Dividing the gap of 1 by 51 gives 1.9608%, and dividing it by 52 gives 1.9231%. The average, 51.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
51 and 62

Between 51 and 62: 19.469% difference

41 and 52

Between 41 and 52: 23.6559% difference

The other way round: Percentage change from 51 to 52. Percentage difference is symmetric: between 52 and 51 it is the same 1.9417%, so there is one page for each pair of numbers. Percentage change is not: from 51 to 52 is +1.9608%, from 52 to 51 is -1.9231%.

Practice

10 and 72
Show answer

Between 10 and 72: 151.2195% difference

12 and 76
Show answer

Between 12 and 76: 145.4545% difference

10 and 34
Show answer

Between 10 and 34: 109.0909% difference

40 and 58
Show answer

Between 40 and 58: 36.7347% difference

92 and 97
Show answer

Between 92 and 97: 5.291% difference

83 and 97
Show answer

Between 83 and 97: 15.5556% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 51 and 52

The percentage difference between 51 and 52 is 1.9417%: the gap divided by the average. Formula and steps.

What is the percentage change from 51 to 52?

+1.9608%. Percentage change uses the starting value (51) as the base, so it is larger than the percentage difference of 1.9417%.

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.