Sumwise

Percentage Difference between 13 and 20

Between 13 and 20: 42.4242% difference

Difference
42.4242%
Gap
7
Average
16.5
Ratio
1.5385 : 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: |13 − 20| = 7
  2. Average of the values: (13 + 20) ÷ 2 = 16.5
  3. Divide the gap by the average and multiply by 100: 7 ÷ 16.5 × 100 = 42.4242%
  4. Check: Work backwards: 0.424242 × 16.5 = 7, the gap between the values.

In a spreadsheet: =ABS(13-20)/((13+20)/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

20 is 7 more than 13. Measured against their average, 16.5, that gap is 42.4242%. The result is the same whichever value you name first.

Prices: if one shop charges $13 and another $20 for the same item, the prices differ by 42.4242%.

Why the average is the base

Dividing the gap of 7 by 13 gives 53.8462%, and dividing it by 20 gives 35%. The average, 16.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
13 and 30

Between 13 and 30: 79.0698% difference

3 and 20

Between 3 and 20: 147.8261% difference

The other way round: Percentage change from 13 to 20. Percentage difference is symmetric: between 20 and 13 it is the same 42.4242%, so there is one page for each pair of numbers. Percentage change is not: from 13 to 20 is +53.8462%, from 20 to 13 is -35%.

Practice

3 and 57
Show answer

Between 3 and 57: 180% difference

54 and 79
Show answer

Between 54 and 79: 37.594% difference

26 and 36
Show answer

Between 26 and 36: 32.2581% difference

65 and 85
Show answer

Between 65 and 85: 26.6667% difference

6 and 46
Show answer

Between 6 and 46: 153.8462% difference

49 and 53
Show answer

Between 49 and 53: 7.8431% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 13 and 20

The percentage difference between 13 and 20 is 42.4242%: the gap divided by the average. Formula and steps.

What is the percentage change from 13 to 20?

+53.8462%. Percentage change uses the starting value (13) as the base, so it is larger than the percentage difference of 42.4242%.

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.