Sumwise

Percentage Difference between 10 and 100

Between 10 and 100: 163.6364% difference

Difference
163.6364%
Gap
90
Average
55
Ratio
10 : 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: |10 − 100| = 90
  2. Average of the values: (10 + 100) ÷ 2 = 55
  3. Divide the gap by the average and multiply by 100: 90 ÷ 55 × 100 = 163.6364%
  4. Check: Work backwards: 1.636364 × 55 = 90, the gap between the values.

In a spreadsheet: =ABS(10-100)/((10+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 90 more than 10. Measured against their average, 55, that gap is 163.6364%. The result is the same whichever value you name first.

Prices: if one shop charges $10 and another $100 for the same item, the prices differ by 163.6364%.

Why the average is the base

Dividing the gap of 90 by 10 gives 900%, and dividing it by 100 gives 90%. The average, 55, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
10 and 110

Between 10 and 110: 166.6667% difference

10 and 90

Between 10 and 90: 160% difference

20 and 100

Between 20 and 100: 133.3333% difference

The other way round: Percentage change from 10 to 100. Percentage difference is symmetric: between 100 and 10 it is the same 163.6364%, so there is one page for each pair of numbers. Percentage change is not: from 10 to 100 is +900%, from 100 to 10 is -90%.

Practice

3 and 40
Show answer

Between 3 and 40: 172.093% difference

96 and 97
Show answer

Between 96 and 97: 1.0363% difference

2 and 69
Show answer

Between 2 and 69: 188.7324% difference

86 and 94
Show answer

Between 86 and 94: 8.8889% difference

65 and 73
Show answer

Between 65 and 73: 11.5942% difference

23 and 26
Show answer

Between 23 and 26: 12.2449% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 10 and 100

The percentage difference between 10 and 100 is 163.6364%: the gap divided by the average. Formula and steps.

What is the percentage change from 10 to 100?

+900%. Percentage change uses the starting value (10) as the base, so it is larger than the percentage difference of 163.6364%.

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.