What is Percentage Calculator?
A percentage represents a fraction of 100, widely used across finance, statistics, and daily calculations to represent proportions and relative changes.
How to Use This Calculator
- Enter the percentage you wish to calculate.
- Enter the base number.
- View the calculated product, along with values increased or decreased by that percentage.
The Mathematical Formula & Variables
Variables Definition
| Symbol / Variable | Name | Description |
|---|---|---|
P |
Percentage | Rate per 100 units. |
X |
Base Number | Total whole quantity being analyzed. |
Step-by-Step Worked Example
Scenario: Calculate 20% of 150.
- Convert percentage to decimal: 20 / 100 = 0.20.
- Multiply by base value: 0.20 * 150 = 30.
- Value increased by 20%: 150 + 30 = 180.
- Value decreased by 20%: 150 - 30 = 120.
Result: 20% of 150 = 30
Frequently Asked Questions
How do I calculate percentage change?
Subtract the original value from the new value, divide by the absolute value of the original, then multiply by 100. Formula: ((New - Old) / Old) * 100.
