Sumwise

Percentage Difference between 20 and 81

Between 20 and 81: 120.7921% difference

Difference
120.7921%
Gap
61
Average
50.5
Ratio
4.05 : 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: |20 − 81| = 61
  2. Average of the values: (20 + 81) ÷ 2 = 50.5
  3. Divide the gap by the average and multiply by 100: 61 ÷ 50.5 × 100 = 120.7921%
  4. Check: Work backwards: 1.207921 × 50.5 = 61, the gap between the values.

In a spreadsheet: =ABS(20-81)/((20+81)/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

81 is 61 more than 20. Measured against their average, 50.5, that gap is 120.7921%. The result is the same whichever value you name first.

Prices: if one shop charges $20 and another $81 for the same item, the prices differ by 120.7921%.

Why the average is the base

Dividing the gap of 61 by 20 gives 305%, and dividing it by 81 gives 75.3086%. The average, 50.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
20 and 91

Between 20 and 91: 127.9279% difference

20 and 71

Between 20 and 71: 112.0879% difference

30 and 81

Between 30 and 81: 91.8919% difference

10 and 81

Between 10 and 81: 156.044% difference

The other way round: Percentage change from 20 to 81. Percentage difference is symmetric: between 81 and 20 it is the same 120.7921%, so there is one page for each pair of numbers. Percentage change is not: from 20 to 81 is +305%, from 81 to 20 is -75.3086%.

Practice

5 and 88
Show answer

Between 5 and 88: 178.4946% difference

94 and 96
Show answer

Between 94 and 96: 2.1053% difference

63 and 65
Show answer

Between 63 and 65: 3.125% difference

19 and 48
Show answer

Between 19 and 48: 86.5672% difference

71 and 97
Show answer

Between 71 and 97: 30.9524% difference

90 and 98
Show answer

Between 90 and 98: 8.5106% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 20 and 81

The percentage difference between 20 and 81 is 120.7921%: the gap divided by the average. Formula and steps.

What is the percentage change from 20 to 81?

+305%. Percentage change uses the starting value (20) as the base, so it is larger than the percentage difference of 120.7921%.

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.