Percentage Calculator - Calculate Percentages
๐ Percentage Results:
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What is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred." Percentages are used to compare quantities, express proportions, and show changes over time.
Key Formulas:
Percentage of a number: (Percentage รท 100) ร Number
What % is X of Y: (X รท Y) ร 100
Percentage to decimal: Percentage รท 100
๐ How It Works
๐ Enter Value
Input the base number
โก Enter Percentage
Input the percentage rate
๐ฏ Optional Total
For "what % is X of Y" calculations
Two Calculation Modes
Mode 1: Percentage of a Number
Enter Value + Percentage (leave Total empty)
Example: 25% of 200 = 50
Mode 2: What Percentage
Enter Value + Total (Percentage calculated)
Example: What % is 50 of 200? = 25%
Common Examples
Shopping Discount
Test Score
Tax Calculation
Tip Calculation
Grade Distribution
Interest Calculation
Calculation Table
| Percentage | Of Number | Result | Calculation |
|---|---|---|---|
| 10% | 100 | 10 | 100 ร 0.10 |
| 25% | 200 | 50 | 200 ร 0.25 |
| 50% | 80 | 40 | 80 ร 0.50 |
| 75% | 120 | 90 | 120 ร 0.75 |
| 15% | 300 | 45 | 300 ร 0.15 |
| 90% | 150 | 135 | 150 ร 0.90 |
*To convert percentage to decimal, divide by 100 (e.g., 25% = 0.25)
Frequently Asked Questions
How do I calculate a percentage of a number?
To find x% of a number, multiply the number by x and divide by 100, or multiply by the decimal equivalent (x/100). For example, 25% of 200 = 200 ร 0.25 = 50.
How do I find what percentage one number is of another?
Divide the first number by the second number and multiply by 100. Formula: (Part รท Whole) ร 100. For example, what % is 30 of 120? (30 รท 120) ร 100 = 25%.
What's the difference between percentage and percentile?
Percentage is a fraction expressed out of 100 (e.g., 75% means 75 out of 100). Percentile indicates the value below which a certain percentage of data falls (e.g., 75th percentile means 75% of values are below this point).
How do I convert between percentages, decimals, and fractions?
To convert: Percentage to decimal (divide by 100), decimal to percentage (multiply by 100), percentage to fraction (put over 100 and simplify). Example: 25% = 0.25 = 1/4.
What are some common percentage calculations in daily life?
Common uses include calculating tips (15-20% of bill), sales tax (varies by location), discounts (% off original price), test scores (correct answers รท total ร 100), and interest rates on loans or savings.
Can percentages be greater than 100%?
Yes! Percentages can exceed 100%. For example, if something doubles in size, it has increased by 100%. If it triples, that's a 200% increase. Values over 100% simply mean more than the whole or original amount.