Sumwise

Percentage Difference between 20 and 100

Between 20 and 100: 133.3333% difference

Difference
133.3333%
Gap
80
Average
60
Ratio
5 : 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 − 100| = 80
  2. Average of the values: (20 + 100) ÷ 2 = 60
  3. Divide the gap by the average and multiply by 100: 80 ÷ 60 × 100 = 133.3333%
  4. Check: Work backwards: 1.333333 × 60 = 80, the gap between the values.

In a spreadsheet: =ABS(20-100)/((20+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 80 more than 20. Measured against their average, 60, that gap is 133.3333%. The result is the same whichever value you name first.

Prices: if one shop charges $20 and another $100 for the same item, the prices differ by 133.3333%.

Why the average is the base

Dividing the gap of 80 by 20 gives 400%, and dividing it by 100 gives 80%. The average, 60, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
20 and 110

Between 20 and 110: 138.4615% difference

20 and 90

Between 20 and 90: 127.2727% difference

30 and 100

Between 30 and 100: 107.6923% difference

10 and 100

Between 10 and 100: 163.6364% difference

The other way round: Percentage change from 20 to 100. Percentage difference is symmetric: between 100 and 20 it is the same 133.3333%, so there is one page for each pair of numbers. Percentage change is not: from 20 to 100 is +400%, from 100 to 20 is -80%.

Practice

5 and 35
Show answer

Between 5 and 35: 150% difference

25 and 65
Show answer

Between 25 and 65: 88.8889% difference

27 and 78
Show answer

Between 27 and 78: 97.1429% difference

16 and 41
Show answer

Between 16 and 41: 87.7193% difference

86 and 98
Show answer

Between 86 and 98: 13.0435% difference

33 and 58
Show answer

Between 33 and 58: 54.9451% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 20 and 100

The percentage difference between 20 and 100 is 133.3333%: the gap divided by the average. Formula and steps.

What is the percentage change from 20 to 100?

+400%. Percentage change uses the starting value (20) as the base, so it is larger than the percentage difference of 133.3333%.

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.