Percentage Calculator
Enter two values and the third is calculated: percentage value, percentage or base value – plus percentage change.
- Updated
What do you want to calculate?
Enter two values – the third is calculated.
Percentage value
38
3819% of 200 is 38.
How this was calculated
Percentage value = base value × percentage ÷ 100. The other two values follow by rearranging.
RZ-26 · headon.pro
Percentage calculation: basics and formulas
The three most common percentage tasks
The percentage calculation comes up everywhere – when shopping, filing taxes, at work, and when comparing prices. The word percent comes from the Latin "per centum", meaning "per hundred". A percentage therefore states how many parts out of 100 are meant. The base value (G) is the starting value, the percentage rate (p%) describes the share, and the percentage value (P) is the result. The three formulas are: P = G × p% ÷ 100, p% = P ÷ G × 100 and G = P ÷ p% × 100.
In everyday life, percentage calculations are especially relevant when shopping: a 30% discount on an item priced at €120 saves €36 – the final price is €84. VAT is also a percentage calculation: a net amount of €100 is increased by 19% VAT to €119 gross. For this, choose the "X% of Y" mode and enter 19 and 100.
The percentage change is essential when comparing figures over time: if a salary rises from €3,000 to €3,300, the increase is (3,300 − 3,000) ÷ 3,000 × 100 = 10%. If a share price falls from €50 to €40, the result is (40 − 50) ÷ 50 × 100 = −20%. Positive values mean an increase, negative values a decrease. Our calculator shows you not only the percentage but also the absolute difference.
The percentage share answers the question: "What percentage is X of Y?" If 21 out of 30 students in a class solved a task, that corresponds to 21 ÷ 30 × 100 = 70%. Use this mode for exam results, market shares, survey results, and anywhere you want to express a partial value in relation to a whole.
Calculation examples
- Base value (G)
- 200
- Percentage
- 19%
- Formula
- 200 × 19 ÷ 100
- Percentage value (P)
- 38
- Partial value
- 38
- Total value
- 200
- Formula
- 38 ÷ 200 × 100
- Share
- 19%
- Starting value
- 200
- New value
- 250
- Difference
- +50
- Change
- +25%
Frequently asked questions about the percentage calculator
Formulas, examples and tips for percentage calculation
How do I calculate X percent of a number?
To calculate X% of a number Y, multiply Y by X and divide by 100. Formula: result = Y × X ÷ 100. Example: 19% of 200 = 200 × 19 ÷ 100 = 38. Our percentage calculator performs this calculation instantly as soon as you enter the percentage rate and base value.
How do I calculate a percentage share?
You calculate the share as a percentage with the formula: percentage = (partial value ÷ total value) × 100. Example: 38 of 200 is 38 ÷ 200 × 100 = 19%. This is useful for expressing exam scores, market shares, or discounts as a percentage.
How do I calculate percentage change?
The percentage change from value A to value B is calculated as: (B − A) ÷ |A| × 100. Example: from 200 to 250 is (250 − 200) ÷ 200 × 100 = +25%. For a decline from 200 to 160, the result is: (160 − 200) ÷ 200 × 100 = −20%. Positive values mean an increase, negative values a decrease.
How do I calculate a discount in percent?
You calculate a discount like "X% of Y": discount amount = original price × discount% ÷ 100. With an original price of €80 and a 25% discount, the result is 80 × 25 ÷ 100 = €20 discount. The final price is then 80 − 20 = €60. In the calculator, choose the "X% of Y" mode and enter the percentage rate and original price.
What is the percentage calculator used for in everyday life?
Percentage calculators are used every day for VAT (7% or 19% in Germany), tips, discounts, interest calculations, exam grades and pay raises. The "percentage change" mode is particularly useful when comparing prices or figures over different time periods.