How to use the Percentage Calculator?
The Percentage Calculator handles three types of percentage problems in one tool. Mode 1 answers 'What is X% of Y?' (e.g., what is 15% of 200 = 30). Mode 2 answers 'X is what percent of Y?' (e.g., 30 is 15% of 200). Mode 3 answers 'What is Y after increasing or decreasing by X%?' (e.g., 200 increased by 15% = 230, or 200 decreased by 15% = 170). Results update instantly as you type, with no need to press a button. All three modes cover the vast majority of percentage questions that come up in everyday life.
Percentages appear in nearly every domain of daily life: retail discounts and sale prices, tax calculations, interest rates, tip amounts, grade scores, statistical data, business profit margins, and investment returns. Understanding how to work with percentages quickly and accurately — in both directions — gives you a practical edge in financial decisions, shopping, and data interpretation. The ability to switch between 'finding a percent of a number' and 'finding what percent a number represents' is especially useful for comparisons.
The underlying formulas are straightforward: to find X% of Y, compute Y × (X/100). To find what percentage X is of Y, compute (X/Y) × 100. To increase Y by X%, compute Y × (1 + X/100); to decrease, compute Y × (1 − X/100). This calculator handles these operations so you can focus on the result. All calculations run locally in your browser — no data is sent to any server, and results are available offline.
Frequently Asked Questions
- How do I calculate a percentage of a number?
- Formula: Result = Number × (Percentage divided by 100). Example: 15% of 200 = 200 × 0.15 = 30. Use Mode 1 in this calculator — enter 15 as the percentage and 200 as the number. The result is 30.
- How do I find what percentage one number is of another?
- Formula: Percentage = (Part divided by Whole) × 100. Example: what percent is 30 of 200? = (30 divided by 200) × 100 = 15%. Use Mode 2 — enter 30 and 200. The result is 15%.
- How do I calculate a percentage increase?
- Formula: New Value = Original × (1 + Percentage divided by 100). Example: 200 increased by 15% = 200 × 1.15 = 230. To find the percentage change between two numbers: ((New minus Old) divided by Old) × 100.
- How do I calculate a sale price after a discount?
- Subtract the discount percentage from 100%, then multiply by the original price. Example: $120 item at 30% off = 120 × 0.70 = $84. The discount amount is 120 × 0.30 = $36. This is Mode 3 (Decrease by Percent) in this calculator.
- What is the difference between a percentage point and a percent change?
- A percentage point is an absolute arithmetic difference between two percentages. A percent change is relative. Example: if an interest rate rises from 2% to 3%, that is 1 percentage point — but it is a 50% relative increase in the rate. The distinction is critical in finance, polling, and statistics.
- How do I quickly calculate a tip percentage mentally?
- Find 10% first by moving the decimal point one place left. Then adjust: 20% = double the 10% figure; 15% = the 10% figure plus half of it; 18% ≈ double the 10% figure minus a small amount. Example: 18% of $65 — 10% = $6.50, 20% = $13.00, 18% ≈ $11.70.
- Can I calculate a tax-inclusive price?
- Yes. Use Mode 1 to find the tax amount (e.g., 8% of $100 = $8), then add it to the original price ($108 total). Or use Mode 3 (Increase by Percent) to get the tax-inclusive price directly: $100 increased by 8% = $108.