Sumwise

Percentage Difference between 40 and 51

Between 40 and 51: 24.1758% difference

Difference
24.1758%
Gap
11
Average
45.5
Ratio
1.275 : 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: |40 − 51| = 11
  2. Average of the values: (40 + 51) ÷ 2 = 45.5
  3. Divide the gap by the average and multiply by 100: 11 ÷ 45.5 × 100 = 24.1758%
  4. Check: Work backwards: 0.241758 × 45.5 = 11, the gap between the values.

In a spreadsheet: =ABS(40-51)/((40+51)/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

51 is 11 more than 40. Measured against their average, 45.5, that gap is 24.1758%. The result is the same whichever value you name first.

Prices: if one shop charges $40 and another $51 for the same item, the prices differ by 24.1758%.

Why the average is the base

Dividing the gap of 11 by 40 gives 27.5%, and dividing it by 51 gives 21.5686%. The average, 45.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
40 and 61

Between 40 and 61: 41.5842% difference

40 and 41

Between 40 and 41: 2.4691% difference

50 and 51

Between 50 and 51: 1.9802% difference

30 and 51

Between 30 and 51: 51.8519% difference

The other way round: Percentage change from 40 to 51. Percentage difference is symmetric: between 51 and 40 it is the same 24.1758%, so there is one page for each pair of numbers. Percentage change is not: from 40 to 51 is +27.5%, from 51 to 40 is -21.5686%.

Practice

3 and 8
Show answer

Between 3 and 8: 90.9091% difference

50 and 59
Show answer

Between 50 and 59: 16.5138% difference

67 and 88
Show answer

Between 67 and 88: 27.0968% difference

54 and 80
Show answer

Between 54 and 80: 38.806% difference

73 and 74
Show answer

Between 73 and 74: 1.3605% difference

7 and 35
Show answer

Between 7 and 35: 133.3333% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 40 and 51

The percentage difference between 40 and 51 is 24.1758%: the gap divided by the average. Formula and steps.

What is the percentage change from 40 to 51?

+27.5%. Percentage change uses the starting value (40) as the base, so it is larger than the percentage difference of 24.1758%.

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.