emonsteremonster tools

Percentage change

Compare signed percentage change and the symmetric percentage difference between values. Drag the graph handles to change inputs and explore the result.

Your inputs

The editable example is illustrative. Enter your own dimensions, operating data, prices, and fees. Results update as you edit.

≥ -1,000,000,000,000
≥ -1,000,000,000,000
Calculation mode

Calculations run in your browser. Inputs are not saved or sent to analytics.

How it works

  • Percentage change = ( − ) ÷ abs() × 100; Symmetric percentage difference = abs( − ) ÷ (( + ) ÷ 2) × 100; Symmetric percentage difference: , ≥ 0
  • Worked example: 80 → 100 = +25%; 100 → 80 = −20%; −80 → −60 = +25%
  • Supported input limits: : -1,000,000,000,000 ≤ x ≤ 1,000,000,000,000; : -1,000,000,000,000 ≤ x ≤ 1,000,000,000,000
Input and formula key

Your result

Complete the inputs to see your result.

Assumptions and limitations

Change divides the signed difference by the absolute original value; a zero baseline is undefined. Symmetric difference accepts nonnegative values and divides the absolute difference by their average. These two measures answer different questions.

Sources

Explore this subject: Mathematics

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