Understanding percentages is essential in everyday life, from calculating discounts while shopping to figuring out financial returns. While the concept itself is straightforward – a proportion out of 100 – different types of percentage problems require specific formulas. This article serves as a comprehensive guide to all formula of percentage, equipping you with the knowledge to tackle any percentage-related calculation with ease.
Solve Percentage Problems the Easy Way!
Our free calculator handles all percentage formulas, giving you instant, accurate answers.
Calculate Percentages Instantly →Basic Percentage Formula
The most fundamental percentage formula is used to find what percentage one number represents of another. It's expressed as:
Percentage = (Part / Whole) x 100
Example: If you scored 75 out of 100 on a test, your percentage score is (75 / 100) x 100 = 75%.
Finding a Percentage of a Number
This formula helps you determine a specific percentage of a given number:
Part = (Percentage / 100) x Whole
Example: What is 20% of 50? Using the formula, Part = (20 / 100) x 50 = 10.
Need a quick answer? Use our percentage calculator above to quickly find the answer!
Calculating Percentage Increase
Percentage increase is used to determine the relative change when a value increases:
Percentage Increase = [(New Value - Original Value) / Original Value] x 100
Example: If a price increases from $20 to $25, the percentage increase is [($25 - $20) / $20] x 100 = 25%.
Calculating Percentage Decrease
Conversely, percentage decrease calculates the relative change when a value decreases:
Percentage Decrease = [(Original Value - New Value) / Original Value] x 100
Example: If a price decreases from $25 to $20, the percentage decrease is [($25 - $20) / $25] x 100 = 20%.
Percentage Difference
The percentage difference is used to compare two values without emphasizing which is "original" and which is "new.":
Percentage Difference = (|Value 1 - Value 2| / [(Value 1 + Value 2) / 2]) x 100
Example: Comparing 70 and 80, the percentage difference is (|(70 - 80)| / [(70 + 80) / 2]) x 100 = 13.33%.
Using Our Percentage Calculator
While knowing the formulas is crucial, our percentage calculator provides an instant solution to these calculations. It handles all the formulas above and more, making it easier than ever to:
- Find what percent of a number is (e.g., what is 15% of 200?).
- Calculate what percentage one number is of another (e.g., 30 is what percent of 150?).
- Determine percentage increase or decrease (e.g., going from 80 to 100 is what percent increase?).
Simply input your numbers, and the calculator delivers the answer immediately! It's mobile-friendly, making percentage problem-solving accessible anytime, anywhere.
Cross Linking
To further enhance your understanding of percentages, explore these related topics:
- Calculating percentage of two numbers
- How to Work out percentages
- Working Out Profit Percentage
- Adding Percentage Calculator
- Percentage Increase Calculator
- Visit our blog for more information on the importance of accuracy in calculations.