Sumwise

Percentage Difference between 80 and 100

Between 80 and 100: 22.2222% difference

Difference
22.2222%
Gap
20
Average
90
Ratio
1.25 : 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: |80 − 100| = 20
  2. Average of the values: (80 + 100) ÷ 2 = 90
  3. Divide the gap by the average and multiply by 100: 20 ÷ 90 × 100 = 22.2222%
  4. Check: Work backwards: 0.222222 × 90 = 20, the gap between the values.

In a spreadsheet: =ABS(80-100)/((80+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 20 more than 80. Measured against their average, 90, that gap is 22.2222%. The result is the same whichever value you name first.

Prices: if one shop charges $80 and another $100 for the same item, the prices differ by 22.2222%.

Why the average is the base

Dividing the gap of 20 by 80 gives 25%, and dividing it by 100 gives 20%. The average, 90, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
80 and 110

Between 80 and 110: 31.5789% difference

80 and 90

Between 80 and 90: 11.7647% difference

90 and 100

Between 90 and 100: 10.5263% difference

70 and 100

Between 70 and 100: 35.2941% difference

The other way round: Percentage change from 80 to 100. Percentage difference is symmetric: between 100 and 80 it is the same 22.2222%, so there is one page for each pair of numbers. Percentage change is not: from 80 to 100 is +25%, from 100 to 80 is -20%.

Practice

2 and 16
Show answer

Between 2 and 16: 155.5556% difference

58 and 77
Show answer

Between 58 and 77: 28.1481% difference

23 and 64
Show answer

Between 23 and 64: 94.2529% difference

30 and 34
Show answer

Between 30 and 34: 12.5% difference

29 and 61
Show answer

Between 29 and 61: 71.1111% difference

34 and 97
Show answer

Between 34 and 97: 96.1832% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 80 and 100

The percentage difference between 80 and 100 is 22.2222%: the gap divided by the average. Formula and steps.

What is the percentage change from 80 to 100?

+25%. Percentage change uses the starting value (80) as the base, so it is larger than the percentage difference of 22.2222%.

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.