Sumwise

Percentage Difference between 38 and 97

Between 38 and 97: 87.4074% difference

Difference
87.4074%
Gap
59
Average
67.5
Ratio
2.5526 : 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: |38 − 97| = 59
  2. Average of the values: (38 + 97) ÷ 2 = 67.5
  3. Divide the gap by the average and multiply by 100: 59 ÷ 67.5 × 100 = 87.4074%
  4. Check: Work backwards: 0.874074 × 67.5 = 59, the gap between the values.

In a spreadsheet: =ABS(38-97)/((38+97)/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

97 is 59 more than 38. Measured against their average, 67.5, that gap is 87.4074%. The result is the same whichever value you name first.

Prices: if one shop charges $38 and another $97 for the same item, the prices differ by 87.4074%.

Why the average is the base

Dividing the gap of 59 by 38 gives 155.2632%, and dividing it by 97 gives 60.8247%. The average, 67.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
38 and 107

Between 38 and 107: 95.1724% difference

38 and 87

Between 38 and 87: 78.4% difference

48 and 97

Between 48 and 97: 67.5862% difference

28 and 97

Between 28 and 97: 110.4% difference

The other way round: Percentage change from 38 to 97. Percentage difference is symmetric: between 97 and 38 it is the same 87.4074%, so there is one page for each pair of numbers. Percentage change is not: from 38 to 97 is +155.2632%, from 97 to 38 is -60.8247%.

Practice

8 and 79
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Between 8 and 79: 163.2184% difference

28 and 44
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Between 28 and 44: 44.4444% difference

33 and 79
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Between 33 and 79: 82.1429% difference

17 and 47
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Between 17 and 47: 93.75% difference

6 and 21
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Between 6 and 21: 111.1111% difference

13 and 18
Show answer

Between 13 and 18: 32.2581% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 38 and 97

The percentage difference between 38 and 97 is 87.4074%: the gap divided by the average. Formula and steps.

What is the percentage change from 38 to 97?

+155.2632%. Percentage change uses the starting value (38) as the base, so it is larger than the percentage difference of 87.4074%.

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.