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Percentage Calculator
Easily calculate percentages (discounts, grades, calculations).
How to Use
1
Enter the base number in the first field.
2
Enter the desired percentage in the second field.
3
Click 'Calculate' to see the result with full details.
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About This Tool
What Is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The word 'percent' literally means 'per hundred.' When we say 25%, we mean 25 out of every 100. Percentages are used everywhere: from store discounts to bank interest rates, from exam grades to economic growth rates. This tool makes calculation fast and error-free.
How Is a Percentage Calculated?
The basic formula: Result = (Number × Percentage) ÷ 100. Example: 20% of 150 = (150 × 20) ÷ 100 = 30. To calculate a discount: Price after discount = Original price - Result. Example: Price 200 with 15% discount = 200 - 30 = 170. To find a percentage: (Part ÷ Whole) × 100. Example: What percentage is 45 of 180? (45 ÷ 180) × 100 = 25%.
Common Practical Uses
- Calculating shopping discounts and seasonal sales to find the final price
- Calculating tax rates and government fees on purchases and services
- Determining grade percentages in exams and academic evaluations
- Calculating annual raises in salaries, prices, and inflation
- Analyzing financial and statistical data like profit margins and growth rates
Quick Mental Math Tricks for Percentages
There are mental shortcuts: 10% = move the decimal one place left (10% of 250 = 25). 50% = divide by 2. 25% = divide by 4. 1% = divide by 100. You can combine these: 15% = 10% + 5% (where 5% is half of 10%). Example: 15% of 80 = 8 (10%) + 4 (5%) = 12. These tricks are very useful for quick price calculations while shopping.
Tip: The commutative rule of percentages: 8% of 50 equals exactly 50% of 8 (= 4). Use this rule to simplify difficult mental calculations.
Sources & References
Frequently Asked Questions
To calculate the price after discount: multiply the product price by the discount percentage and divide by 100, then subtract from the original price. Example: Product at 300 with 20% discount: 300 × 20 ÷ 100 = 60 (discount amount). Final price = 300 - 60 = 240.
Increase by percentage: New value = Original + (Original × Percentage ÷ 100). Decrease by percentage: New value = Original - (Original × Percentage ÷ 100). Important note: increasing by 50% then decreasing by 50% does NOT return to the original! (100 + 50% = 150, then 150 - 50% = 75).
To find what percentage one number is of another, divide the first by the second and multiply by 100. Example: What percentage is 30 of 120? (30 ÷ 120) × 100 = 25%. So 30 represents 25% of 120.
Tips are usually 10-20% of the bill. To quickly calculate 15%: find 10% (divide by 10) then add half of that. Example: Bill of 80 → 10% = 8 → half of 8 = 4 → 15% tip = 12.
Yes, percentages are an ideal tool for comparing data of different sizes. For example, comparing growth rates between companies of different sizes, or comparing success rates in different tests. Percentages standardize the scale and make fair comparisons easier.
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