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Prozentrechner

Solve every common percentage problem: X% of Y, what percent one number is of another, percentage change, percentage difference, and increasing or decreasing a value by a percentage.

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  1. Choose the type of calculation from the list.
  2. Enter the two values. The labels change to match the question.
  3. The answer updates instantly, with the equation used shown below the result.

Formel

A percentage is a fraction of 100. Every percentage problem is a rearrangement of part = percent × whole / 100.

X% of Y = X / 100 × Y
X is what % of Y = X / Y × 100
% change from A to B = (B − A) / |A| × 100
% difference = |A − B| / ((A + B) / 2) × 100

Examples

  1. 15% of 200 = 0.15 × 200 = 30.
  2. 30 is what % of 120? 30 / 120 × 100 = 25%.
  3. From 80 to 100: (100 − 80) / 80 × 100 = 25% increase.
  4. 200 increased by 15% = 200 × 1.15 = 230.

Häufige Fragen

Is percentage change the same as percentage difference?

No. Percentage change has a direction (from an old value to a new one). Percentage difference compares two values symmetrically, using their average as the base.

Why isn't a 50% increase followed by a 50% decrease back to the start?

Because the decrease applies to the larger number. 100 + 50% = 150, and 150 − 50% = 75.

What is a percentage point?

It's the simple difference between two percentages. Going from 4% to 5% is an increase of 1 percentage point, but a 25% relative increase.