Sumwise

Percentage Difference between 16 and 42

Between 16 and 42: 89.6552% difference

Difference
89.6552%
Gap
26
Average
29
Ratio
2.625 : 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: |16 − 42| = 26
  2. Average of the values: (16 + 42) ÷ 2 = 29
  3. Divide the gap by the average and multiply by 100: 26 ÷ 29 × 100 = 89.6552%
  4. Check: Work backwards: 0.896552 × 29 = 26, the gap between the values.

In a spreadsheet: =ABS(16-42)/((16+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 26 more than 16. Measured against their average, 29, that gap is 89.6552%. The result is the same whichever value you name first.

Prices: if one shop charges $16 and another $42 for the same item, the prices differ by 89.6552%.

Why the average is the base

Dividing the gap of 26 by 16 gives 162.5%, and dividing it by 42 gives 61.9048%. The average, 29, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
16 and 52

Between 16 and 52: 105.8824% difference

16 and 32

Between 16 and 32: 66.6667% difference

26 and 42

Between 26 and 42: 47.0588% difference

6 and 42

Between 6 and 42: 150% difference

The other way round: Percentage change from 16 to 42. Percentage difference is symmetric: between 42 and 16 it is the same 89.6552%, so there is one page for each pair of numbers. Percentage change is not: from 16 to 42 is +162.5%, from 42 to 16 is -61.9048%.

Practice

4 and 48
Show answer

Between 4 and 48: 169.2308% difference

7 and 93
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Between 7 and 93: 172% difference

20 and 33
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Between 20 and 33: 49.0566% difference

75 and 94
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Between 75 and 94: 22.4852% difference

38 and 86
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Between 38 and 86: 77.4194% difference

65 and 70
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Between 65 and 70: 7.4074% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 16 and 42

The percentage difference between 16 and 42 is 89.6552%: the gap divided by the average. Formula and steps.

What is the percentage change from 16 to 42?

+162.5%. Percentage change uses the starting value (16) as the base, so it is larger than the percentage difference of 89.6552%.

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.