Sumwise

Percentage Difference between 82 and 100

Between 82 and 100: 19.7802% difference

Difference
19.7802%
Gap
18
Average
91
Ratio
1.2195 : 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: |82 − 100| = 18
  2. Average of the values: (82 + 100) ÷ 2 = 91
  3. Divide the gap by the average and multiply by 100: 18 ÷ 91 × 100 = 19.7802%
  4. Check: Work backwards: 0.197802 × 91 = 18, the gap between the values.

In a spreadsheet: =ABS(82-100)/((82+100)/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

100 is 18 more than 82. Measured against their average, 91, that gap is 19.7802%. The result is the same whichever value you name first.

Prices: if one shop charges $82 and another $100 for the same item, the prices differ by 19.7802%.

Why the average is the base

Dividing the gap of 18 by 82 gives 21.9512%, and dividing it by 100 gives 18%. The average, 91, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
82 and 110

Between 82 and 110: 29.1667% difference

82 and 90

Between 82 and 90: 9.3023% difference

92 and 100

Between 92 and 100: 8.3333% difference

72 and 100

Between 72 and 100: 32.5581% difference

The other way round: Percentage change from 82 to 100. Percentage difference is symmetric: between 100 and 82 it is the same 19.7802%, so there is one page for each pair of numbers. Percentage change is not: from 82 to 100 is +21.9512%, from 100 to 82 is -18%.

Practice

12 and 16
Show answer

Between 12 and 16: 28.5714% difference

37 and 86
Show answer

Between 37 and 86: 79.6748% difference

54 and 71
Show answer

Between 54 and 71: 27.2% difference

58 and 93
Show answer

Between 58 and 93: 46.3576% difference

6 and 92
Show answer

Between 6 and 92: 175.5102% difference

49 and 72
Show answer

Between 49 and 72: 38.0165% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 82 and 100

The percentage difference between 82 and 100 is 19.7802%: the gap divided by the average. Formula and steps.

What is the percentage change from 82 to 100?

+21.9512%. Percentage change uses the starting value (82) as the base, so it is larger than the percentage difference of 19.7802%.

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.