How this is calculated

Take the absolute difference, divide by the mean of the two values, then multiply by 100.

|A − B| / ((A + B) / 2) × 100

  1. Find the absolute gap. |80 − 100| = 20.
  2. Find the average. (80 + 100) / 2 = 90.
  3. Divide and convert to a percent. 20 / 90 × 100 = 22.222…%.

From 80 to 100 is a 25% increase if 80 is the original value. The difference is 22.222% because the base is 90, not 80. Choose change when there is a before and after.

Not the same as

Difference has no starting value and no sign. These tools do.

Percentage-difference questions

22.222…%. The gap is 20 and the average is 90, so 20 / 90 × 100.

25% is the percentage change from 80 to 100. Difference uses the average as the base, which is 90, not 80.

Open percentage change

No. Absolute value makes 80 vs 100 the same as 100 vs 80.

When one number is the accepted or true value. Error divides by that accepted value, not by the average.

Open percentage error

Not usefully. The average would be zero and the formula would divide by zero.

Yes. |50 − 80| / 65 × 100 = 46.1538…%.