Sumwise

Percentage Difference between 45 and 66

Between 45 and 66: 37.8378% difference

Difference
37.8378%
Gap
21
Average
55.5
Ratio
1.4667 : 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: |45 − 66| = 21
  2. Average of the values: (45 + 66) ÷ 2 = 55.5
  3. Divide the gap by the average and multiply by 100: 21 ÷ 55.5 × 100 = 37.8378%
  4. Check: Work backwards: 0.378378 × 55.5 = 21, the gap between the values.

In a spreadsheet: =ABS(45-66)/((45+66)/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

66 is 21 more than 45. Measured against their average, 55.5, that gap is 37.8378%. The result is the same whichever value you name first.

Prices: if one shop charges $45 and another $66 for the same item, the prices differ by 37.8378%.

Why the average is the base

Dividing the gap of 21 by 45 gives 46.6667%, and dividing it by 66 gives 31.8182%. The average, 55.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
45 and 76

Between 45 and 76: 51.2397% difference

45 and 56

Between 45 and 56: 21.7822% difference

55 and 66

Between 55 and 66: 18.1818% difference

35 and 66

Between 35 and 66: 61.3861% difference

The other way round: Percentage change from 45 to 66. Percentage difference is symmetric: between 66 and 45 it is the same 37.8378%, so there is one page for each pair of numbers. Percentage change is not: from 45 to 66 is +46.6667%, from 66 to 45 is -31.8182%.

Practice

9 and 97
Show answer

Between 9 and 97: 166.0377% difference

5 and 48
Show answer

Between 5 and 48: 162.2642% difference

33 and 48
Show answer

Between 33 and 48: 37.037% difference

15 and 19
Show answer

Between 15 and 19: 23.5294% difference

26 and 31
Show answer

Between 26 and 31: 17.5439% difference

19 and 53
Show answer

Between 19 and 53: 94.4444% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 45 and 66

The percentage difference between 45 and 66 is 37.8378%: the gap divided by the average. Formula and steps.

What is the percentage change from 45 to 66?

+46.6667%. Percentage change uses the starting value (45) as the base, so it is larger than the percentage difference of 37.8378%.

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.