Percentage Calculator
Calculate percentages: find percentage of a number, percentage change, and more.
What is a Percentage Calculator?
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement.
Percentage Formula & How to Calculate
The percentage formula depends on what you want to calculate. Here are the common ones:
- Percentage of a Number: (Percentage ÷ 100) × Number
- Percentage Change: ((New Value - Old Value) ÷ Old Value) × 100
- X is what % of Y: (X ÷ Y) × 100
Example Calculation
Let's say you want to find 20% of 150.
- Convert the percentage to a decimal: 20% = 0.20
- Multiply the decimal by the number: 0.20 × 150
- The result is 30.
Frequently Asked Questions
How do I calculate a percentage?
To calculate a percentage of a number, multiply the number by the percentage fraction (percentage/100).
What is the formula for percentage increase?
The formula is: ((New Value - Original Value) / Original Value) × 100.
How to find what percent one number is of another?
Divide the part by the whole and multiply by 100. Formula: (Part / Whole) × 100.
Is percentage reversible?
Yes, A% of B is equal to B% of A. For example, 20% of 50 is 10, and 50% of 20 is also 10.
Can a percentage be greater than 100?
Yes, percentages can be greater than 100. For example, 200% of a number is twice that number.
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