what is 15 percent of 400

2 min read 26-12-2024

Calculating percentages is a fundamental skill with various applications in everyday life, from figuring out discounts to understanding financial reports. This article will show you how to easily determine what 15 percent of 400 is, and will explain the process so you can calculate other percentages as well.

Understanding Percentages

A percentage is a fraction or ratio expressed as a number out of 100. The symbol "%" represents "percent". So, 15% means 15 out of 100, or 15/100.

Method 1: Using Decimal Conversion

This is the most straightforward method. First, convert the percentage to a decimal by dividing it by 100.

Step 1: Convert 15% to a decimal: 15 ÷ 100 = 0.15
Step 2: Multiply the decimal by the number you're finding the percentage of (400 in this case): 0.15 x 400 = 60

Therefore, 15% of 400 is $\boxed{60}$ .

Method 2: Using Fractions

This method involves converting the percentage to a fraction and then performing the calculation.

Step 1: Convert 15% to a fraction: 15/100
Step 2: Simplify the fraction (optional): 15/100 simplifies to 3/20
Step 3: Multiply the fraction by the number: (3/20) x 400 = 60

Again, we find that 15% of 400 is $\boxed{60}$ .

Method 3: Using a Calculator

Most calculators have a percentage function. Simply enter 15%, then the multiplication symbol, then 400, and press equals. The result will be 60.

Practical Applications

Understanding percentage calculations is crucial in many real-world scenarios:

Sales and Discounts: Calculating the discount amount on sale items. For example, a 15% discount on a $400 item.
Taxes: Determining the amount of tax on a purchase.
Tips: Calculating a tip amount at a restaurant.
Financial Analysis: Understanding profit margins, interest rates, and other financial metrics.

Other Percentage Calculations

Using the methods described above, you can calculate any percentage of any number. Simply replace the percentage and the number with your desired values.

Conclusion

Calculating 15 percent of 400 is a simple process that can be done using several different methods. Whether you use decimal conversion, fractions, or a calculator, the answer remains the same: 60. Mastering this skill will enhance your ability to handle various numerical problems in daily life and professional settings. Remember to practice these methods to build your confidence and proficiency in percentage calculations.