Percentage Calculator
Solve everyday percentage calculations instantly. Calculate discount amounts, markups, ratios, and percentage differences.
Mathematical Breakdown
15% of 200 is 30
Formula Reference
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How to use Percentage Calculator
- Select Calculation Type: Choose whether you want to find the value of a percentage, determine what percentage a part is of a whole, or measure percentage increase/decrease.
- Enter Inputs: Fill in the values in the inputs boxes. The answer will update instantly.
- Inspect Mathematical Breakdown: View how the formula is applied step-by-step in the results card.
What is a Percentage?
A percentage (represented by the symbol %) is a dimensionless ratio or number expressed as a fraction of 100. It is a highly standard way to compare ratios, express proportions, calculate interest rates, show retail discounts, and track performance changes in fields like finance, engineering, and statistics.
Percentage Formulas Used
Depending on the calculation mode, the mathematical formula differs:
- Percentage Value: To find X% of Y: Value = (X / 100) * Y
- Find Percentage: To find what % X is of Y: Percentage = (X / Y) * 100
- Percentage Change: To find % increase or decrease from X to Y: Change % = ((Y - X) / X) * 100
Percentage Calculation Examples
- Retail Discount: If a shirt costs ₹1,500 and is on a 20% sale: Discount value = (20 / 100) * 1,500 = ₹300. Net price = ₹1,200.
- Test Scores: If a student scores 45 out of 60 marks: Percentage = (45 / 60) * 100 = 75%.
- Salary Hike: If your salary increases from ₹50,000 to ₹55,000: Hike % = ((55,000 - 50,000) / 50,000) * 100 = 10% raise.
Common Fraction-to-Percentage Reference
A quick cheat-sheet showing basic fractions, decimal values, and corresponding percentage values:
| Fraction | Decimal Value | Percentage Equivalent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 1/10 | 0.1 | 10% |
| 3/4 | 0.75 | 75% |
Benefits of Using our Percentage Calculator
- Universal Utilities: Handles three separate mathematical workflows in a single user interface.
- Instant Answers: Solves multi-step percentage queries in less than a millisecond.
- Error-free Accounting: Ensures exact tax, discount, or return percentages are calculated perfectly.
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Frequently Asked Questions
How do you calculate a percentage of a number?
To find X% of Y, convert the percentage to a fraction by dividing by 100, then multiply by the number. Formula: Value = (X / 100) * Y. For example, 15% of 200 is (15 / 100) * 200 = 30.
How is percentage increase or decrease calculated?
To find the percentage change from X to Y, compute the difference (Y - X), divide it by the original value X, then multiply by 100. Formula: % Change = ((Y - X) / X) * 100. A positive result indicates an increase; a negative result indicates a decrease.
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