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Calculate percentages easily with multiple calculation options. Get instant results for various percentage problems.
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Percentages are a way of expressing a number as a fraction of 100. The term "percent" means "per hundred" and is represented by the symbol %. Understanding how to calculate and work with percentages is essential for many everyday situations, from shopping discounts to financial planning.
Calculation Type | Formula | Example |
|---|---|---|
| Calculating a percentage of a number | P% × X = Y | 20% of 150 = 0.20 × 150 = 30 |
| Finding what percent one number is of another | (X ÷ Y) × 100 = P% | 75 is what percent of 300? (75 ÷ 300) × 100 = 25% |
| Finding the original value from a percentage | Y ÷ (P% ÷ 100) = X | 25 is 20% of what number? 25 ÷ 0.20 = 125 |
Percentage change measures how much a value has increased or decreased as a percentage of the original value. This is commonly used for calculating growth rates, inflation, or price changes.
% Change = ((New Value - Original Value) ÷ Original Value) × 100
A product priced at $80 is now $100. What is the percentage increase?
% Change = ((100 - 80) ÷ 80) × 100 = (20 ÷ 80) × 100 = 0.25 × 100 = 25%
Sale Price = Original Price - (Original Price × Discount Percentage)
Example: A $50 shirt with a 30% discount.
Sale Price = $50 - ($50 × 0.30) = $50 - $15 = $35
Tip Amount = Bill Total × Tip Percentage
Example: A $60 restaurant bill with a 15% tip.
Tip Amount = $60 × 0.15 = $9
Tax Amount = Purchase Price × Tax Rate
Example: A $200 purchase with 8% sales tax.
Tax Amount = $200 × 0.08 = $16
Total Cost = $200 + $16 = $216
Simple Interest = Principal × Rate × Time
Example: $1,000 invested at 5% annual interest for 3 years.
Interest = $1,000 × 0.05 × 3 = $150
Application | Formula | Explanation |
|---|---|---|
| Profit Margin | ((Revenue - Cost) ÷ Revenue) × 100 | The percentage of revenue that is profit |
| Markup | ((Selling Price - Cost) ÷ Cost) × 100 | The percentage increase from cost to selling price |
| ROI (Return on Investment) | ((Gain - Cost) ÷ Cost) × 100 | Measures the return relative to the investment's cost |
| Growth Rate | ((Final Value - Initial Value) ÷ Initial Value) × 100 | The percentage increase over a specific period |
Percentages are crucial in many academic fields and statistical analyses:
Grade Percentage = (Points Earned ÷ Total Points Possible) × 100
Example: A student scores 42 points on a 50-point test.
Grade = (42 ÷ 50) × 100 = 84%
Percentiles indicate the value below which a certain percentage of observations fall.
Example: If you're in the 90th percentile for height, it means you're taller than 90% of the population in your reference group.
Convert percentages to decimals for calculations by dividing by 100 (e.g., 25% = 0.25)
Remember that percentages are relative - they always relate to some whole amount
Be careful with consecutive percentage changes - they don't add up directly
Example: A 10% increase followed by a 10% decrease does not return to the original value:
$100 increased by 10% = $110, then decreased by 10% = $99 (not $100)
Use this calculator for complex percentage problems to ensure accuracy
Understanding percentage calculations is essential for many practical situations in business, finance, academics, and daily life. Watch this video tutorial to learn how to calculate percentages quickly and accurately.
This video tutorial covers different types of percentage calculations, real-world applications, and helpful tips to improve your percentage math skills.