Sumwise

Percentage Difference between 14 and 21

Between 14 and 21: 40% difference

Difference
40%
Gap
7
Average
17.5
Ratio
1.5 : 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: |14 − 21| = 7
  2. Average of the values: (14 + 21) ÷ 2 = 17.5
  3. Divide the gap by the average and multiply by 100: 7 ÷ 17.5 × 100 = 40%
  4. Check: Work backwards: 0.4 × 17.5 = 7, the gap between the values.

In a spreadsheet: =ABS(14-21)/((14+21)/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

21 is 7 more than 14. Measured against their average, 17.5, that gap is 40%. The result is the same whichever value you name first.

Prices: if one shop charges $14 and another $21 for the same item, the prices differ by 40%.

Why the average is the base

Dividing the gap of 7 by 14 gives 50%, and dividing it by 21 gives 33.3333%. The average, 17.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
14 and 31

Between 14 and 31: 75.5556% difference

4 and 21

Between 4 and 21: 136% difference

The other way round: Percentage change from 14 to 21. Percentage difference is symmetric: between 21 and 14 it is the same 40%, so there is one page for each pair of numbers. Percentage change is not: from 14 to 21 is +50%, from 21 to 14 is -33.3333%.

Practice

3 and 8
Show answer

Between 3 and 8: 90.9091% difference

42 and 51
Show answer

Between 42 and 51: 19.3548% difference

2 and 98
Show answer

Between 2 and 98: 192% difference

27 and 60
Show answer

Between 27 and 60: 75.8621% difference

23 and 78
Show answer

Between 23 and 78: 108.9109% difference

23 and 39
Show answer

Between 23 and 39: 51.6129% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 14 and 21

The percentage difference between 14 and 21 is 40%: the gap divided by the average. Formula and steps.

What is the percentage change from 14 to 21?

+50%. Percentage change uses the starting value (14) as the base, so it is larger than the percentage difference of 40%.

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.