Integral Calculator

To calculate a percentage of a number, multiply the number by the percentage divided by 100. For example, to find 15% of 200, convert 15% to 0.15 and multiply by 200: 0.15 × 200 = 30. So, 15% of 200 is 30. This method works for any percentage and any number. If you're calculating a discount, the result is the amount you save. If you're calculating tax, it's the amount added. For a $60 meal with a 20% tip, 0.20 × 60 = 12, so the tip is $12. If you need to find the original price after a discount, you'll need a different calculation. For example, if you paid $80 after a 20% discount, the original price was $100. You can use our percentage calculator to handle such reverse calculations. Remember, the integral calculator here is for simple percentage-of-a-number problems. For more complex percentage changes, try the percentage change calculator.

The basic percentage formula is: Result = (Percentage / 100) × Base Value. This formula converts the percentage to a decimal and multiplies it by the base value. For instance, to find 8% of 250, divide 8 by 100 to get 0.08, then multiply by 250: 0.08 × 250 = 20. So, 8% of 250 is 20. This formula is the foundation for many real-world calculations, like sales tax, tips, and interest. If you're calculating a discount, the result is the discount amount. For a $120 item at 30% off, 0.30 × 120 = 36, so you save $36 and pay $84. If you want to find what percentage one number is of another, the formula is (Part / Whole) × 100. For example, 30 is what percent of 200? (30 / 200) × 100 = 15%. Our percentage calculator can help with that. For percentage increase or decrease, use the percentage change calculator.

To calculate a discount, enter the original price as the base value and the discount percentage as the percentage. The result is the amount you save. For example, if a $80 shirt is 25% off, enter 80 and 25. The calculator returns 20, meaning you save $20. Subtract the discount from the original price to get the sale price: $80 - $20 = $60. If you want to find the sale price directly, you can multiply the original price by (1 - discount percentage/100). For 25% off, 1 - 0.25 = 0.75, so $80 × 0.75 = $60. This method is quicker for multiple items. For instance, a $150 jacket at 40% off: 0.60 × 150 = $90. If you're comparing discounts, like 20% off $100 versus 30% off $80, the savings are $20 and $24 respectively, so the second is better. Use our percentage calculator for more discount scenarios, including stacked discounts.

To calculate a tip, enter the bill amount as the base value and the tip percentage as the percentage. The result is the tip amount. For a $45 restaurant bill with a 20% tip, enter 45 and 20. The calculator returns 9, so the tip is $9. Add this to the bill for a total of $54. Common tip percentages are 15%, 18%, and 20%. For a $60 bill, a 15% tip is $9, an 18% tip is $10.80, and a 20% tip is $12. If you want to split the bill, divide the total by the number of people. For a $120 bill with a 20% tip, the total is $144. Split four ways, each person pays $36. If you're in a state with sales tax, you might tip on the pre-tax amount. For a $50 meal with $4 tax, a 20% tip on $50 is $10, making the total $64. Use our percentage calculator for quick tip calculations on the go.

Percentage and percent are often used interchangeably, but there is a subtle difference. 'Percent' means 'per hundred' and is the specific number out of 100, like 25%. 'Percentage' refers to the concept or the result of a calculation, such as 'the percentage of students who passed is 85%.' In everyday use, both terms are fine. For example, 'What percent of 200 is 50?' and 'What percentage of 200 is 50?' both ask for the same answer: 25%. The formula is the same: (Part / Whole) × 100. If you're calculating a percentage of a number, like 30% of 150, the result is 45. If you're finding what percent 45 is of 150, it's 30%. Our integral calculator handles the first type. For the second type, use the percentage calculator. Understanding the distinction helps when reading word problems or financial reports. For percentage change, like an increase from 50 to 60, the change is 20%, calculated as ((60-50)/50)×100.

Yes, you can use this calculator to find sales tax. Enter the pre-tax price as the base value and the sales tax rate as the percentage. The result is the tax amount. For example, if a $120 item has a 7% sales tax, enter 120 and 7. The calculator returns 8.40, so the tax is $8.40. Add this to the price for a total of $128.40. Sales tax rates vary by state and city, ranging from 0% in Oregon to over 10% in some areas. For a $200 purchase with 8.25% tax, the tax is $16.50, total $216.50. If you're buying multiple items, calculate tax on the subtotal. For a $50 item and a $30 item, subtotal is $80; at 6% tax, tax is $4.80, total $84.80. If you need to find the pre-tax price from a total, divide the total by (1 + tax rate/100). For a $108 total with 8% tax, pre-tax price is $108 / 1.08 = $100. Our percentage calculator can help with reverse tax calculations.