Percentage Calculator
What is X% of Y, what percentage is one value of another, and by how much did it change? The calculator shows the result and the formula with your numbers.
How much is X% of Y?
Result
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Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
FAQ
Frequently Asked Questions
How do I calculate 19 % VAT?
VAT calculation: net × 0.19 = VAT amount. Gross = net × 1.19. Reverse: gross ÷ 1.19 = net; gross − net = VAT. Example: 500 EUR net → 95 EUR VAT → 595 EUR gross.
How do I calculate a discount?
Discount: price × (1 − discount/100) = new price. Example: 200 EUR, 15 % discount: 200 × 0.85 = 170 EUR. Saving: 30 EUR.
How do I calculate a percentage change?
Percentage change = (new − old) / old × 100. Example: price rises from 80 to 100 EUR: (100−80)/80 × 100 = 25 % increase.
What is the difference between percentage points and percent?
Percentage points describe the absolute difference between two percentages. Percent describes relative change. If an interest rate rises from 2 % to 3 %, that is 1 percentage point more, but 50 % more interest relatively.
Guide
What is the Percentage Calculator?
The percentage calculator solves all common percentage problems: calculating percentage values, finding the base, determining the percentage, and computing percentage changes.
How does the Percentage Calculator work?
Choose the calculation type and enter known values. Percentage value: W = G × p/100. Base value: G = W / (p/100). Percentage: p = W/G × 100. Percentage change: (new − old) / old × 100.
Key Data and Facts
Key formulas: Percentage value W = G × p/100. Base value G = W × 100/p. Percentage p = W/G × 100. Percentage change = (new − old) / old × 100. Discount: new = price × (1 − discount/100). Markup: new = price × (1 + markup/100).
Step-by-Step Guide
Step-by-step: 1. Percentage value: "19 % VAT on 100 EUR" → 100 × 19/100 = 19 EUR. 2. Base value: "15 EUR are 20 % of what?" → 15 × 100/20 = 75 EUR. 3. Percentage: "25 out of 200 is how many %?" → 25/200 × 100 = 12.5 %. 4. Increase: (250−200)/200 × 100 = 25 %. 5. Decrease: (180−200)/200 × 100 = −10 %.
Calculation Example
Ex. 1: 19 % VAT on 500 EUR net → 95 EUR VAT, 595 EUR gross. Ex. 2: 30 % discount on 120 EUR → price 84 EUR, saving 36 EUR. Ex. 3: salary rises from 3,000 to 3,300 EUR → 10 % increase.
Sources
Official sources
Calculations are based on applicable German laws and official data:
Full methodology at Methodology.
Reviewed by Konstantin Iakovlev · Last updated:
Mathematics
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