Sumwise

Percentage Difference between 90 and 100

Between 90 and 100: 10.5263% difference

Difference
10.5263%
Gap
10
Average
95
Ratio
1.1111 : 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: |90 − 100| = 10
  2. Average of the values: (90 + 100) ÷ 2 = 95
  3. Divide the gap by the average and multiply by 100: 10 ÷ 95 × 100 = 10.5263%
  4. Check: Work backwards: 0.105263 × 95 = 10, the gap between the values.

In a spreadsheet: =ABS(90-100)/((90+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 10 more than 90. Measured against their average, 95, that gap is 10.5263%. The result is the same whichever value you name first.

Prices: if one shop charges $90 and another $100 for the same item, the prices differ by 10.5263%.

Why the average is the base

Dividing the gap of 10 by 90 gives 11.1111%, and dividing it by 100 gives 10%. The average, 95, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
90 and 110

Between 90 and 110: 20% difference

80 and 100

Between 80 and 100: 22.2222% difference

The other way round: Percentage change from 90 to 100. Percentage difference is symmetric: between 100 and 90 it is the same 10.5263%, so there is one page for each pair of numbers. Percentage change is not: from 90 to 100 is +11.1111%, from 100 to 90 is -10%.

Practice

18 and 45
Show answer

Between 18 and 45: 85.7143% difference

41 and 69
Show answer

Between 41 and 69: 50.9091% difference

35 and 71
Show answer

Between 35 and 71: 67.9245% difference

75 and 78
Show answer

Between 75 and 78: 3.9216% difference

12 and 35
Show answer

Between 12 and 35: 97.8723% difference

26 and 30
Show answer

Between 26 and 30: 14.2857% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 90 and 100

The percentage difference between 90 and 100 is 10.5263%: the gap divided by the average. Formula and steps.

What is the percentage change from 90 to 100?

+11.1111%. Percentage change uses the starting value (90) as the base, so it is larger than the percentage difference of 10.5263%.

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.