Percentage Calculator
Understanding Percentages: A Complete Guide
What is a Percentage Calculator?
A percentage calculator is a versatile tool that helps solve various percentage-related problems. Our calculator handles five main types of percentage calculations, making it useful for financial, academic, and everyday calculations.
Key Features of Our Percentage Calculator
- Find percentage: What is X% of Y?
- Find percent: X is what percent of Y?
- Find base: X is Y% of what?
- Percentage change: Calculate increases or decreases
- Percentage difference: Compare two values
- Detailed explanations: Understand how each calculation works
Common Percentage Formulas
Basic Percentage Formula
Percentage = (Value / Total Value) × 100
Example: What is 15% of 200?
15% × 200 = 0.15 × 200 = 30
Percentage Change Formula
% Change = [(New Value – Original Value) / Original Value] × 100
Example: Price increased from $50 to $60
[(60-50)/50] × 100 = 20% increase
Percentage Difference Formula
% Difference = (|Value1 – Value2| / [(Value1 + Value2)/2]) × 100
Example: Difference between 80 and 100
(|80-100|/[(80+100)/2]) × 100 = 22.22%
Practical Applications of Percentages
Percentages are used in countless real-world situations:
- Finance: Interest rates, investment returns, loan calculations
- Retail: Discounts, sales tax, price increases
- Education: Test scores, grade calculations
- Statistics: Survey results, population changes
- Health: Body fat percentage, nutrition facts
Percentage Conversion Table
| Percentage | Decimal | Fraction |
|---|---|---|
| 1% | 0.01 | 1/100 |
| 5% | 0.05 | 1/20 |
| 10% | 0.10 | 1/10 |
| 25% | 0.25 | 1/4 |
| 50% | 0.50 | 1/2 |
| 100% | 1.00 | 1/1 |