Sumwise

Percentage Difference between 40 and 100

Between 40 and 100: 85.7143% difference

Difference
85.7143%
Gap
60
Average
70
Ratio
2.5 : 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: |40 − 100| = 60
  2. Average of the values: (40 + 100) ÷ 2 = 70
  3. Divide the gap by the average and multiply by 100: 60 ÷ 70 × 100 = 85.7143%
  4. Check: Work backwards: 0.857143 × 70 = 60, the gap between the values.

In a spreadsheet: =ABS(40-100)/((40+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 60 more than 40. Measured against their average, 70, that gap is 85.7143%. The result is the same whichever value you name first.

Prices: if one shop charges $40 and another $100 for the same item, the prices differ by 85.7143%.

Why the average is the base

Dividing the gap of 60 by 40 gives 150%, and dividing it by 100 gives 60%. The average, 70, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
40 and 110

Between 40 and 110: 93.3333% difference

40 and 90

Between 40 and 90: 76.9231% difference

50 and 100

Between 50 and 100: 66.6667% difference

30 and 100

Between 30 and 100: 107.6923% difference

The other way round: Percentage change from 40 to 100. Percentage difference is symmetric: between 100 and 40 it is the same 85.7143%, so there is one page for each pair of numbers. Percentage change is not: from 40 to 100 is +150%, from 100 to 40 is -60%.

Practice

8 and 85
Show answer

Between 8 and 85: 165.5914% difference

17 and 93
Show answer

Between 17 and 93: 138.1818% difference

68 and 79
Show answer

Between 68 and 79: 14.966% difference

22 and 70
Show answer

Between 22 and 70: 104.3478% difference

21 and 99
Show answer

Between 21 and 99: 130% difference

17 and 29
Show answer

Between 17 and 29: 52.1739% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 40 and 100

The percentage difference between 40 and 100 is 85.7143%: the gap divided by the average. Formula and steps.

What is the percentage change from 40 to 100?

+150%. Percentage change uses the starting value (40) as the base, so it is larger than the percentage difference of 85.7143%.

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.