Sumwise

Percentage Difference between 20 and 77

Between 20 and 77: 117.5258% difference

Difference
117.5258%
Gap
57
Average
48.5
Ratio
3.85 : 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: |20 − 77| = 57
  2. Average of the values: (20 + 77) ÷ 2 = 48.5
  3. Divide the gap by the average and multiply by 100: 57 ÷ 48.5 × 100 = 117.5258%
  4. Check: Work backwards: 1.175258 × 48.5 = 57, the gap between the values.

In a spreadsheet: =ABS(20-77)/((20+77)/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

77 is 57 more than 20. Measured against their average, 48.5, that gap is 117.5258%. The result is the same whichever value you name first.

Prices: if one shop charges $20 and another $77 for the same item, the prices differ by 117.5258%.

Why the average is the base

Dividing the gap of 57 by 20 gives 285%, and dividing it by 77 gives 74.026%. The average, 48.5, sits between them, so the result does not depend on which value is listed first.

Related results

Results for nearby numbers
20 and 87

Between 20 and 87: 125.2336% difference

20 and 67

Between 20 and 67: 108.046% difference

30 and 77

Between 30 and 77: 87.8505% difference

10 and 77

Between 10 and 77: 154.023% difference

The other way round: Percentage change from 20 to 77. Percentage difference is symmetric: between 77 and 20 it is the same 117.5258%, so there is one page for each pair of numbers. Percentage change is not: from 20 to 77 is +285%, from 77 to 20 is -74.026%.

Practice

5 and 94
Show answer

Between 5 and 94: 179.798% difference

20 and 64
Show answer

Between 20 and 64: 104.7619% difference

38 and 99
Show answer

Between 38 and 99: 89.0511% difference

29 and 72
Show answer

Between 29 and 72: 85.1485% difference

9 and 84
Show answer

Between 9 and 84: 161.2903% difference

40 and 78
Show answer

Between 40 and 78: 64.4068% difference

Calculate another

How answers are calculated and checked: methodology.

Questions

Percentage Difference between 20 and 77

The percentage difference between 20 and 77 is 117.5258%: the gap divided by the average. Formula and steps.

What is the percentage change from 20 to 77?

+285%. Percentage change uses the starting value (20) as the base, so it is larger than the percentage difference of 117.5258%.

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.