Sumwise

Percentage Difference between 8 and 42

Between 8 and 42: 136% difference

Difference
136%
Gap
34
Average
25
Ratio
5.25 : 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: |8 − 42| = 34
  2. Average of the values: (8 + 42) ÷ 2 = 25
  3. Divide the gap by the average and multiply by 100: 34 ÷ 25 × 100 = 136%
  4. Check: Work backwards: 1.36 × 25 = 34, the gap between the values.

In a spreadsheet: =ABS(8-42)/((8+42)/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

42 is 34 more than 8. Measured against their average, 25, that gap is 136%. The result is the same whichever value you name first.

Prices: if one shop charges $8 and another $42 for the same item, the prices differ by 136%.

Why the average is the base

Dividing the gap of 34 by 8 gives 425%, and dividing it by 42 gives 80.9524%. The average, 25, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
8 and 52

Between 8 and 52: 146.6667% difference

8 and 32

Between 8 and 32: 120% difference

18 and 42

Between 18 and 42: 80% difference

The other way round: Percentage change from 8 to 42. Percentage difference is symmetric: between 42 and 8 it is the same 136%, so there is one page for each pair of numbers. Percentage change is not: from 8 to 42 is +425%, from 42 to 8 is -80.9524%.

Practice

2 and 51
Show answer

Between 2 and 51: 184.9057% difference

16 and 43
Show answer

Between 16 and 43: 91.5254% difference

27 and 87
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Between 27 and 87: 105.2632% difference

5 and 46
Show answer

Between 5 and 46: 160.7843% difference

40 and 89
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Between 40 and 89: 75.969% difference

13 and 61
Show answer

Between 13 and 61: 129.7297% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 8 and 42

The percentage difference between 8 and 42 is 136%: the gap divided by the average. Formula and steps.

What is the percentage change from 8 to 42?

+425%. Percentage change uses the starting value (8) as the base, so it is larger than the percentage difference of 136%.

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.