Sumwise

Percentage Difference between 10 and 90

Between 10 and 90: 160% difference

Difference
160%
Gap
80
Average
50
Ratio
9 : 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 − 90| = 80
  2. Average of the values: (10 + 90) ÷ 2 = 50
  3. Divide the gap by the average and multiply by 100: 80 ÷ 50 × 100 = 160%
  4. Check: Work backwards: 1.6 × 50 = 80, the gap between the values.

In a spreadsheet: =ABS(10-90)/((10+90)/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

90 is 80 more than 10. Measured against their average, 50, that gap is 160%. The result is the same whichever value you name first.

Prices: if one shop charges $10 and another $90 for the same item, the prices differ by 160%.

Why the average is the base

Dividing the gap of 80 by 10 gives 800%, and dividing it by 90 gives 88.8889%. The average, 50, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
10 and 100

Between 10 and 100: 163.6364% difference

10 and 80

Between 10 and 80: 155.5556% difference

20 and 90

Between 20 and 90: 127.2727% difference

The other way round: Percentage change from 10 to 90. Percentage difference is symmetric: between 90 and 10 it is the same 160%, so there is one page for each pair of numbers. Percentage change is not: from 10 to 90 is +800%, from 90 to 10 is -88.8889%.

Practice

3 and 31
Show answer

Between 3 and 31: 164.7059% difference

11 and 47
Show answer

Between 11 and 47: 124.1379% difference

35 and 43
Show answer

Between 35 and 43: 20.5128% difference

37 and 87
Show answer

Between 37 and 87: 80.6452% difference

21 and 52
Show answer

Between 21 and 52: 84.9315% difference

43 and 69
Show answer

Between 43 and 69: 46.4286% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 10 and 90

The percentage difference between 10 and 90 is 160%: the gap divided by the average. Formula and steps.

What is the percentage change from 10 to 90?

+800%. Percentage change uses the starting value (10) as the base, so it is larger than the percentage difference of 160%.

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.