what is 9 percent of 400

Natashya

less than a minute read

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26-12-2024

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Finding a percentage of a number is a fundamental math skill used in many everyday situations – from calculating discounts to understanding statistics. This article will guide you through how to calculate 9 percent of 400, and explain the underlying method so you can tackle similar problems with confidence.

Understanding Percentages

Before diving into the calculation, let's refresh our understanding of percentages. A percentage is a fraction expressed as a part of 100. So, 9 percent (written as 9%) means 9 out of every 100.

Method 1: Converting Percentage to Decimal

This is the most common and straightforward method.

1. Convert the percentage to a decimal: To change 9% to a decimal, divide it by 100: 9% / 100 = 0.09

2. Multiply the decimal by the number: Now, multiply the decimal (0.09) by 400: 0.09 * 400 = 36

Therefore, 9% of 400 is $\boxed{36}$

Method 2: Using Fractions

Percentages can also be expressed as fractions.

1. Express the percentage as a fraction: 9% can be written as 9/100.

2. Multiply the fraction by the number: Multiply the fraction (9/100) by 400: (9/100) * 400 = 36

Again, we arrive at the answer: 9% of 400 is $\boxed{36}$

Real-World Applications

Understanding percentage calculations is invaluable in various real-world scenarios:

• Sales and Discounts: Calculating discounts on sale items. If a $400 item is discounted by 9%, you save $36.
• Tax Calculations: Determining the amount of sales tax or other taxes on purchases.
• Financial Calculations: Calculating interest earned on savings or investments.
• Statistics and Data Analysis: Interpreting percentages in charts, graphs, and data reports.

Practice Problems

Try these practice problems to solidify your understanding:

• What is 15% of 200?
• What is 2% of 500?
• What is 50% of 80?

By mastering percentage calculations, you'll be better equipped to handle various numerical challenges in your daily life and professional endeavors. Remember, the key is to understand the underlying concepts and choose the method that best suits your needs.