Percentages are used everywhere in everyday life, from calculating discounts and taxes to understanding statistics and comparing values. A percentage simply represents a part of something out of 100 and can be calculated using a few simple formulas.
The Percentage Formula
The basic formula for finding a percentage is:
Percentage = (Part / Whole) × 100
- Part = The amount you are comparing
- Whole = The total amount
- 100 = Converts the result into a percentage
For example, if you scored 45 points out of 50 on a test:
(45 / 50) × 100 = 90%
Your score is 90 percent.
How to Calculate Percentage Increase or Decrease
To find how much a value has increased or decreased, use this formula:
Percentage Change = ((New Value - Original Value) / Original Value) × 100
- A positive result means the value increased
- A negative result means the value decreased
Finding a Percentage of a Number
To find a specific percentage of a number, convert the percentage into a decimal and multiply:
Value × (Percentage / 100)
For example, to find 20% of 150:
150 × (20 / 100) = 30
So, 20% of 150 is 30.
Try It Yourself
Don't want to calculate percentages manually? Use our free calculator to instantly find percentages, percentage increases, decreases, and more. Simply enter your values and get your answer in seconds.
Conclusion
Understanding how to calculate percentages is a useful skill for school, shopping, finance, and everyday decisions. By learning the basic formulas, you can quickly solve percentage problems without needing extra tools. For faster calculations, try our percentage calculator anytime.