Sumwise

Percentage Difference between 42 and 89

Between 42 and 89: 71.7557% difference

Difference
71.7557%
Gap
47
Average
65.5
Ratio
2.119 : 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: |42 − 89| = 47
  2. Average of the values: (42 + 89) ÷ 2 = 65.5
  3. Divide the gap by the average and multiply by 100: 47 ÷ 65.5 × 100 = 71.7557%
  4. Check: Work backwards: 0.717557 × 65.5 = 47, the gap between the values.

In a spreadsheet: =ABS(42-89)/((42+89)/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

89 is 47 more than 42. Measured against their average, 65.5, that gap is 71.7557%. The result is the same whichever value you name first.

Prices: if one shop charges $42 and another $89 for the same item, the prices differ by 71.7557%.

Why the average is the base

Dividing the gap of 47 by 42 gives 111.9048%, and dividing it by 89 gives 52.809%. The average, 65.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
42 and 99

Between 42 and 99: 80.8511% difference

42 and 79

Between 42 and 79: 61.157% difference

52 and 89

Between 52 and 89: 52.4823% difference

32 and 89

Between 32 and 89: 94.2149% difference

The other way round: Percentage change from 42 to 89. Percentage difference is symmetric: between 89 and 42 it is the same 71.7557%, so there is one page for each pair of numbers. Percentage change is not: from 42 to 89 is +111.9048%, from 89 to 42 is -52.809%.

Practice

9 and 59
Show answer

Between 9 and 59: 147.0588% difference

39 and 69
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Between 39 and 69: 55.5556% difference

75 and 80
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Between 75 and 80: 6.4516% difference

4 and 32
Show answer

Between 4 and 32: 155.5556% difference

38 and 40
Show answer

Between 38 and 40: 5.1282% difference

21 and 45
Show answer

Between 21 and 45: 72.7273% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 42 and 89

The percentage difference between 42 and 89 is 71.7557%: the gap divided by the average. Formula and steps.

What is the percentage change from 42 to 89?

+111.9048%. Percentage change uses the starting value (42) as the base, so it is larger than the percentage difference of 71.7557%.

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.