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Prozentrechner: Prozentwert, prozentuale Veränderung und Erhöhung

Tragen Sie Ihre Zahlen ein bei X % von Y, wie viel Prozent ist X von Y, prozentuale Veränderung, Erhöhung oder Verminderung um Prozent oder Rückwärtsrechnung – jedes Ergebnis erscheint sofort.

Rechner

X % von Y

%

30

Wie viel Prozent von Y sind X?

20%

Prozentuale Veränderung

25%

Erhöhung

Wert um einen Prozentsatz erhöhen oder verringern

%

Erhöhung220

Verringerung180

Rückwärts: X sind Y % von welchem Wert?

%

150

Prozentualer Unterschied

40%

Gemessen am Mittelwert beider Zahlen, daher gleich, welche Zahl zuerst steht.

Schätzungen nur zur Planung. Keine Steuer- oder Finanzberatung. Zuletzt geprüft: 2026-10-25

Der ausführliche Ratgeber unten (Erklärung, Rechenbeispiel, Einschränkungen, FAQ und Quellen) ist derzeit nur auf Englisch verfügbar.

Prozentrechner: So funktioniert’s

A percentage is a fraction of 100. Almost every percentage question is one of a few patterns. To find X% of Y, multiply Y by X and divide by 100. To find what percent X is of Y, divide X by Y and multiply by 100. To find the percentage change, subtract the old value from the new value, divide by the old value and multiply by 100.

The calculator covers those three plus increase by a percent, decrease by a percent and the reverse question (30 is 15% of what number?). Percentage change is always measured against the starting value, which is why a rise of 25% followed by a fall of 25% does not return to where you began.

Formel und Annahmen

Formel

  • X % von Y = X ÷ 100 × Y
  • X sind wie viel % von Y = X ÷ Y × 100
  • % Veränderung = (neu − alt) ÷ |alt| × 100

Annahmen

  • Die prozentuale Veränderung bezieht sich auf den Ausgangswert.
  • Ergebnisse werden mit bis zu 4 Nachkommastellen angezeigt.

Rechenbeispiel

Five common questions

  1. 15% of 240 = 15 ÷ 100 × 240 = 36.
  2. 45 is what percent of 60? 45 ÷ 60 × 100 = 75%.
  3. Change from 80 to 100: (100 − 80) ÷ 80 × 100 = +25%.
  4. Increase 200 by 12%: 200 × 1.12 = 224.
  5. 30 is 15% of what? 30 ÷ 15 × 100 = 200.

Ergebnis: 36; 75%; +25%; 224; 200.

Einschränkungen

  • Percentage change is undefined when the starting value is zero, so the calculator shows no result in that case.
  • Results are shown to up to four decimal places and rounded for display.
  • Percentage points and percent are different: moving from 10% to 12% is +2 percentage points but a 20% relative increase.
  • The tool does not know the context, such as whether a percentage change is compounding over several periods.

Häufig gestellte Fragen

How do I calculate a percentage increase?

Subtract the old value from the new value, divide by the old value and multiply by 100. From 80 to 100 that is 20 ÷ 80 × 100 = 25%.

Why is a 25% rise followed by a 25% fall not back to the start?

The fall is measured on the higher value. 100 rises to 125, then falls 25% of 125 (31.25) to 93.75.

What is the difference between percent and percentage points?

Percentage points are the arithmetic difference between two percentages. Percent change is the relative difference. A rate going from 5% to 6% is up 1 percentage point and up 20%.

How do I find the original number before a percentage was added?

Divide the new number by one plus the percentage as a decimal. If a price is 224 after a 12% increase, the original was 224 ÷ 1.12 = 200.

Can a percentage be more than 100%?

Yes. 150% of 40 is 60. A percentage change over 100% means the value more than doubled.

Does it work with negative numbers?

You can enter negatives, and the change formula uses the absolute value of the starting number, but interpret results with care.

How do I calculate a percentage of a number?

Multiply the number by the percentage and divide by 100. For example, 15% of 80 is 80 × 15 ÷ 100 = 12. Use the X% of Y mode above to see the answer instantly.

How do I calculate percentage change between two numbers?

Subtract the old number from the new one, divide by the old number and multiply by 100. From 80 to 100 is a 25% increase; from 100 to 80 is a 20% decrease. The base is always the starting value, which is why the two changes are not equal.

Quellen

Daten dieses Rechners zuletzt geprüft: 2026-10-25. Schätzungen nur zur Planung; keine Steuer- oder Finanzberatung.

Wie geht es weiter?

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