Percentage Calculator

What is Percentage?

A percentage is a way to express a number as a fraction of 100. It is denoted using the percent sign (%). Percentages are widely used in everyday life, from calculating discounts to understanding statistics and financial growth.

Percentage Formulas

Here are the most commonly used percentage formulas:

• What is X% of Y?
  Formula: (X / 100) * Y
  Example: What is 20% of 150? (20 / 100) * 150 = 30
• X is what percent of Y?
  Formula: (X / Y) * 100
  Example: 30 is what percent of 150? (30 / 150) * 100 = 20%
• X is Y% of what?
  Formula: (X * 100) / Y
  Example: 30 is 20% of what? (30 * 100) / 20 = 150
• Percentage Change
  Formula: ((New Value - Old Value) / Old Value) * 100
  Example: If the price increased from 100 to 120, the percentage change is ((120 - 100) / 100) * 100 = 20%
• Percentage Difference
  Formula: (|Value1 - Value2| / ((Value1 + Value2) / 2)) * 100
  Example: The percentage difference between 80 and 100 is (|80 - 100| / ((80 + 100) / 2)) * 100 = 22.22%

How to Use Percentages

Percentages are used in various real-life scenarios, such as:

• Discounts: Calculate discounts during sales (e.g., 20% off on a $50 item).
• Interest Rates: Determine interest on loans or savings accounts.
• Grades: Calculate test scores and academic grades.
• Statistics: Analyze data and trends in surveys or research.
• Finance: Track profit margins, tax rates, and investment growth.

Use Case Scenarios

Here are some practical examples of how percentages are used:

• Discount Calculation: If a $200 item is on sale for 15% off, the discount is (15 / 100) * 200 = $30, and the final price is $200 - $30 = $170.
• Grade Calculation: If a student scores 45 out of 60, their percentage is (45 / 60) * 100 = 75%.
• Salary Increase: If an employee's salary increases from $50,000 to $55,000, the percentage increase is ((55,000 - 50,000) / 50,000) * 100 = 10%.
• Population Growth: If a town's population grows from 10,000 to 12,000, the percentage growth is ((12,000 - 10,000) / 10,000) * 100 = 20%.

Why Use a Percentage Calculator?

A percentage calculator simplifies complex calculations and saves time. Whether you're calculating discounts, interest rates, or statistical data, this tool ensures accurate results instantly. Use the calculator above to solve your percentage problems effortlessly!