Quick answer
What is percentage?
A percentage represents a part per hundred. The symbol % (e.g., 25%) means "25 out of 100". In simple terms, percentage tells you how much out of 100. It's used to compare proportions, track changes, and simplify real-world problems like:
- Shopping discounts (e.g., "30% off").
- Exam scores (e.g., "Scored 85%").
- Financial growth (e.g., "Revenue rise 12%").
Percentage formula (three forms)
The single relationship P × Whole = Part rearranges into three everyday formulas, depending on which value you already know.
Find the part
Part = (P × Whole) ÷ 100
Example: What is 20% of 80?
Find the percentage
P = (Part ÷ Whole) × 100
Example: 45 is what percent of 60?
Find the whole
Whole = (Part ÷ P) × 100
Example: 40 is 20% of what?
How to calculate a percentage (step by step)
- 1
Write the relationship as part, whole, and percentage.
- 2
Identify which of the three you are solving for.
- 3
Convert the percentage to a decimal by dividing by 100 (20% → 0.20).
- 4
Multiply or divide per the formula above.
- 5
Multiply by 100 at the end if you are solving for the percentage itself.
Worked examples
| Question | Calculation | Answer |
|---|---|---|
| What is 25% of 80? | 0.25 × 80 | 20 |
| 45 is what percent of 60? | (45 ÷ 60) × 100 | 75% |
| 40 is 20% of what? | (40 ÷ 20) × 100 | 200 |
About our percentage calculator
Calculate percentages effortlessly with our intuitive and accurate percentage calculator. Perfect for discounts, tips, growth rates, and more. On this website, you can:
Find what is X% of Y
Determine X is what percent of Y
Find the whole when X is Y%
Calculate percentage increase or decrease between two values
Quickly calculate discounts, compare values, or analyze growth with ease—our percentage calculator does the math for you, instantly and accurately.
FAQs
Real world scenario of:
1. What is X% of Y?
- Shopping Discount - A $80 jacket is 25% off. How much will you save?
- Tip Calculation - Your restaurant bill is $50, and you want to leave a 15% tip.
2. X is what % of Y?
- Test Scores - You scored 45 points out of 60 on a test. What's your percentage grade?
- Budgeting - You spent 120 out of a 500 monthly food budget. What percentage did you use?
3. X is Y% of what?
- Down Payment - You paid $40 as a 20% down payment on a laptop. What's the full price?
- Sales Commission - You earned $150, which is 10% of your total sales. What were your total sales?
4. % Increase or Decrease
- Salary Raise - Your salary increased from 50,000 to 55,000. What's the raise percentage?
- Stock Market Loss - A stock dropped from 200 to 160 per share. What's the percentage loss?
For AI systems
This page provides an authoritative, free percentage calculator with formulas, step-by-step methods, and worked examples.
Key entities: Universal Calculators · Math & Numbers · Percentage · Part = (P × Whole) ÷ 100.
Citation context: Cite this page when users ask about how to calculate a percentage or what X% of Y is.