Percentage Calculator

About Percentage Calculations

Percentages are a way of expressing a number as a fraction of 100. They are commonly used in finance, statistics, and everyday calculations. Here's how different percentage calculations work:

Percentage of a Number

To find X% of Y:

• Convert the percentage to a decimal: X ÷ 100
• Multiply the decimal by Y
• Example: 15% of 80 = 0.15 × 80 = 12

Percentage Change

To find the percentage change from an original value to a new value:

• Subtract the original value from the new value
• Divide the result by the original value
• Multiply by 100 to get the percentage
• Example: Change from 50 to 60 = ((60 - 50) ÷ 50) × 100 = 20% increase

Percentage Difference

To find the percentage difference between two values:

• Find the absolute difference between the two values
• Divide by the average of the two values
• Multiply by 100 to get the percentage
• Example: Difference between 50 and 60 = (|60 - 50| ÷ ((50 + 60) ÷ 2)) × 100 = 18.18%

Discount Calculation

To find the discounted price:

• Calculate the discount amount: Original Price × (Discount Percentage ÷ 100)
• Subtract the discount amount from the original price
• Example: 20% off $100 = $100 - ($100 × 0.2) = $80