Sumwise

Percentage Difference between 66 and 78

Between 66 and 78: 16.6667% difference

Difference
16.6667%
Gap
12
Average
72
Ratio
1.1818 : 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: |66 − 78| = 12
  2. Average of the values: (66 + 78) ÷ 2 = 72
  3. Divide the gap by the average and multiply by 100: 12 ÷ 72 × 100 = 16.6667%
  4. Check: Work backwards: 0.166667 × 72 = 12, the gap between the values.

In a spreadsheet: =ABS(66-78)/((66+78)/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

78 is 12 more than 66. Measured against their average, 72, that gap is 16.6667%. The result is the same whichever value you name first.

Prices: if one shop charges $66 and another $78 for the same item, the prices differ by 16.6667%.

Why the average is the base

Dividing the gap of 12 by 66 gives 18.1818%, and dividing it by 78 gives 15.3846%. The average, 72, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
66 and 88

Between 66 and 88: 28.5714% difference

66 and 68

Between 66 and 68: 2.9851% difference

76 and 78

Between 76 and 78: 2.5974% difference

56 and 78

Between 56 and 78: 32.8358% difference

The other way round: Percentage change from 66 to 78. Percentage difference is symmetric: between 78 and 66 it is the same 16.6667%, so there is one page for each pair of numbers. Percentage change is not: from 66 to 78 is +18.1818%, from 78 to 66 is -15.3846%.

Practice

13 and 45
Show answer

Between 13 and 45: 110.3448% difference

38 and 58
Show answer

Between 38 and 58: 41.6667% difference

16 and 86
Show answer

Between 16 and 86: 137.2549% difference

20 and 86
Show answer

Between 20 and 86: 124.5283% difference

32 and 72
Show answer

Between 32 and 72: 76.9231% difference

58 and 98
Show answer

Between 58 and 98: 51.2821% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 66 and 78

The percentage difference between 66 and 78 is 16.6667%: the gap divided by the average. Formula and steps.

What is the percentage change from 66 to 78?

+18.1818%. Percentage change uses the starting value (66) as the base, so it is larger than the percentage difference of 16.6667%.

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.