Sumwise

Percentage Difference between 10 and 40

Between 10 and 40: 120% difference

Difference
120%
Gap
30
Average
25
Ratio
4 : 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 − 40| = 30
  2. Average of the values: (10 + 40) ÷ 2 = 25
  3. Divide the gap by the average and multiply by 100: 30 ÷ 25 × 100 = 120%
  4. Check: Work backwards: 1.2 × 25 = 30, the gap between the values.

In a spreadsheet: =ABS(10-40)/((10+40)/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

40 is 30 more than 10. Measured against their average, 25, that gap is 120%. The result is the same whichever value you name first.

Prices: if one shop charges $10 and another $40 for the same item, the prices differ by 120%.

Why the average is the base

Dividing the gap of 30 by 10 gives 300%, and dividing it by 40 gives 75%. The average, 25, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
10 and 50

Between 10 and 50: 133.3333% difference

10 and 30

Between 10 and 30: 100% difference

20 and 40

Between 20 and 40: 66.6667% difference

The other way round: Percentage change from 10 to 40. Percentage difference is symmetric: between 40 and 10 it is the same 120%, so there is one page for each pair of numbers. Percentage change is not: from 10 to 40 is +300%, from 40 to 10 is -75%.

Practice

3 and 45
Show answer

Between 3 and 45: 175% difference

47 and 95
Show answer

Between 47 and 95: 67.6056% difference

56 and 94
Show answer

Between 56 and 94: 50.6667% difference

61 and 95
Show answer

Between 61 and 95: 43.5897% difference

34 and 80
Show answer

Between 34 and 80: 80.7018% difference

11 and 72
Show answer

Between 11 and 72: 146.988% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 10 and 40

The percentage difference between 10 and 40 is 120%: the gap divided by the average. Formula and steps.

What is the percentage change from 10 to 40?

+300%. Percentage change uses the starting value (10) as the base, so it is larger than the percentage difference of 120%.

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.