Sumwise

Percentage Difference between 19 and 31

Between 19 and 31: 48% difference

Difference
48%
Gap
12
Average
25
Ratio
1.6316 : 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: |19 − 31| = 12
  2. Average of the values: (19 + 31) ÷ 2 = 25
  3. Divide the gap by the average and multiply by 100: 12 ÷ 25 × 100 = 48%
  4. Check: Work backwards: 0.48 × 25 = 12, the gap between the values.

In a spreadsheet: =ABS(19-31)/((19+31)/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

31 is 12 more than 19. Measured against their average, 25, that gap is 48%. The result is the same whichever value you name first.

Prices: if one shop charges $19 and another $31 for the same item, the prices differ by 48%.

Why the average is the base

Dividing the gap of 12 by 19 gives 63.1579%, and dividing it by 31 gives 38.7097%. The average, 25, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
19 and 41

Between 19 and 41: 73.3333% difference

19 and 21

Between 19 and 21: 10% difference

29 and 31

Between 29 and 31: 6.6667% difference

9 and 31

Between 9 and 31: 110% difference

The other way round: Percentage change from 19 to 31. Percentage difference is symmetric: between 31 and 19 it is the same 48%, so there is one page for each pair of numbers. Percentage change is not: from 19 to 31 is +63.1579%, from 31 to 19 is -38.7097%.

Practice

4 and 64
Show answer

Between 4 and 64: 176.4706% difference

70 and 98
Show answer

Between 70 and 98: 33.3333% difference

29 and 47
Show answer

Between 29 and 47: 47.3684% difference

38 and 84
Show answer

Between 38 and 84: 75.4098% difference

33 and 40
Show answer

Between 33 and 40: 19.1781% difference

32 and 77
Show answer

Between 32 and 77: 82.5688% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 19 and 31

The percentage difference between 19 and 31 is 48%: the gap divided by the average. Formula and steps.

What is the percentage change from 19 to 31?

+63.1579%. Percentage change uses the starting value (19) as the base, so it is larger than the percentage difference of 48%.

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.