Sumwise

Percentage Difference between 10 and 30

Between 10 and 30: 100% difference

Difference
100%
Gap
20
Average
20
Ratio
3 : 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: |10 − 30| = 20
  2. Average of the values: (10 + 30) ÷ 2 = 20
  3. Divide the gap by the average and multiply by 100: 20 ÷ 20 × 100 = 100%
  4. Check: Work backwards: 1 × 20 = 20, the gap between the values.

In a spreadsheet: =ABS(10-30)/((10+30)/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

30 is 20 more than 10. Measured against their average, 20, that gap is 100%. The result is the same whichever value you name first.

Prices: if one shop charges $10 and another $30 for the same item, the prices differ by 100%.

Why the average is the base

Dividing the gap of 20 by 10 gives 200%, and dividing it by 30 gives 66.6667%. The average, 20, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
10 and 40

Between 10 and 40: 120% difference

10 and 20

Between 10 and 20: 66.6667% difference

20 and 30

Between 20 and 30: 40% difference

The other way round: Percentage change from 10 to 30. Percentage difference is symmetric: between 30 and 10 it is the same 100%, so there is one page for each pair of numbers. Percentage change is not: from 10 to 30 is +200%, from 30 to 10 is -66.6667%.

Practice

3 and 36
Show answer

Between 3 and 36: 169.2308% difference

48 and 60
Show answer

Between 48 and 60: 22.2222% difference

40 and 60
Show answer

Between 40 and 60: 40% difference

12 and 89
Show answer

Between 12 and 89: 152.4752% difference

86 and 93
Show answer

Between 86 and 93: 7.8212% difference

92 and 96
Show answer

Between 92 and 96: 4.2553% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 10 and 30

The percentage difference between 10 and 30 is 100%: the gap divided by the average. Formula and steps.

What is the percentage change from 10 to 30?

+200%. Percentage change uses the starting value (10) as the base, so it is larger than the percentage difference of 100%.

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.