What are the assumptions of the Prozent formula?

The "whole" is greater than zero (cannot divide by zero). Both values are measured in the same units (apples to apples). A percentage change is calculated the same way: (new − old) / old × 100.

What are the limitations of Prozent?

Percentages can mislead. "100% increase" sounds impressive but a 1% to 2% change is the same 100%. Percentage points (pp) are different from percent (%). A rate going from 4% to 5% is a 1 pp change but a 25% increase. For very small or very large numbers, scientific notation or log scales communicate better.

Methodik

How we calculate percentages

Our methodology for the Prozent calculator: the formula, step-by-step calculation, authoritative sources, and limitations. Reviewed quarterly.

Formel

result = (part / whole) × 100

Schritt für Schritt

1
Identify the part: the smaller value that is a subset of the whole.
2
Identify the whole: the total value that the part is a portion of.
3
Divide the part by the whole: this gives you a decimal between 0 and 1.
4
Multiply by 100: this converts the decimal to a percentage.
5
Round to the desired precision. For most everyday use, 1–2 decimal places is sufficient.

Maßgebliche Quellen

Every claim on this page is backed by an authoritative source.

Annahmen

What we take to be true when applying this formula.

The "whole" is greater than zero (cannot divide by zero).
Both values are measured in the same units (apples to apples).
A percentage change is calculated the same way: (new − old) / old × 100.

Grenzen

What this method does NOT capture.

Percentages can mislead. "100% increase" sounds impressive but a 1% to 2% change is the same 100%.
Percentage points (pp) are different from percent (%). A rate going from 4% to 5% is a 1 pp change but a 25% increase.
For very small or very large numbers, scientific notation or log scales communicate better.

Rechner öffnen →

Zuletzt überprüft: 2026-06-15 • Reviewed by: CalcxApp editorial team