Percentage Calculator
Use this calculator to perform various percentage-related calculations. You can find a percentage of a number, calculate percentage change, or determine what percentage one number is of another.
1. What is X% of Y?
Calculate a specific percentage of a given number.
2. Percentage Change from A to B
Determine the percentage increase or decrease between two numbers.
3. X is what percentage of Y?
Find out what percentage one number represents of another.
Calculation Results:
Understanding Percentages
Percentages are a fundamental concept in mathematics, used to express a fraction of a whole as a number out of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." They are widely used in various fields, from finance and statistics to everyday shopping and data analysis.
What is X% of Y?
This calculation helps you find a specific portion of a given number. For example, if you want to know what 20% of 500 is, you're looking for that specific part. The formula is straightforward: (Percentage / 100) * Base Number.
Example: If you get a 15% discount on an item that costs $80, you would calculate 15% of 80 to find the discount amount. Using the calculator, input 15 for 'Percentage (X)' and 80 for 'Base Number (Y)'. The result will be 12, meaning a $12 discount.
Percentage Change from A to B
Percentage change measures the relative difference between an old value and a new value. It's crucial for understanding growth, decline, or fluctuations over time. This can be an increase or a decrease.
The formula for percentage change is: ((New Value - Original Value) / Original Value) * 100.
- If the result is positive, it's a percentage increase.
- If the result is negative, it's a percentage decrease.
Example: A company's sales increased from 500 units last month to 650 units this month. To find the percentage increase, input 500 for 'Original Value (A)' and 650 for 'New Value (B)'. The calculator will show a 30% increase.
Example (Decrease): The price of a stock dropped from $150 to $120. Input 150 for 'Original Value (A)' and 120 for 'New Value (B)'. The result will be a 20% decrease.
X is what percentage of Y?
This calculation helps you determine what proportion one number represents of another, expressed as a percentage. It's useful for understanding ratios, grades, or market share.
The formula is: (Part / Whole) * 100.
Example: If you scored 45 points out of a possible 60 on a test, you'd want to know what percentage that is. Input 45 for 'Part (X)' and 60 for 'Whole (Y)'. The calculator will show 75%, meaning you scored 75% on the test.
Example: In a class of 30 students, 18 are girls. To find the percentage of girls, input 18 for 'Part (X)' and 30 for 'Whole (Y)'. The result will be 60%, indicating 60% of the class are girls.
How to Use the Calculator
- Select Your Calculation: The calculator is divided into three sections, each addressing a common percentage problem.
- Enter Values: Input the required numbers into the respective fields for the calculation you wish to perform. Default values are provided as examples.
- Click "Calculate All Percentages": Press the button to see the results for all three types of calculations based on the numbers you've entered.
- Review Results: The results will be displayed clearly below the button, showing the outcome for each calculation type.
This versatile percentage calculator simplifies common percentage problems, making it easy to get accurate results for your mathematical needs.