what is 80 of 450

2 min read 25-12-2024

Finding a percentage of a number is a common mathematical task. This article will show you how to calculate 80% of 450, step-by-step, and explore different methods you can use. Whether you're tackling homework, calculating a discount, or solving a real-world problem, understanding this process is valuable.

Understanding Percentages

Before we dive into the calculation, let's refresh our understanding of percentages. A percentage is a fraction of 100. For example, 80% means 80 out of 100, or 80/100. This can be simplified to the decimal 0.8.

Method 1: Using Decimal Conversion

This is the most straightforward method. We convert the percentage to a decimal and then multiply it by the number.

Step 1: Convert the percentage to a decimal.

To convert 80% to a decimal, we divide by 100:

80% ÷ 100 = 0.8

Step 2: Multiply the decimal by the number.

Now, we multiply the decimal by 450:

0.8 × 450 = 360

Therefore, 80% of 450 is $\boxed{360}$ .

Method 2: Using Fractions

Alternatively, we can use fractions.

Step 1: Convert the percentage to a fraction.

80% can be written as the fraction 80/100. This simplifies to 4/5.

Step 2: Multiply the fraction by the number.

Now, we multiply the fraction by 450:

(4/5) × 450 = (4 × 450) / 5 = 1800 / 5 = 360

Again, we find that 80% of 450 is $\boxed{360}$ .

Method 3: Finding 10% and Scaling Up

This method is useful for mental math and estimations.

Step 1: Find 10% of 450.

10% of 450 is simply 450 divided by 10, which is 45.

Step 2: Scale up to 80%.

Since 80% is eight times 10%, we multiply 45 by 8:

45 × 8 = 360

So, 80% of 450 is $\boxed{360}$ .

Real-World Applications

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

Discounts: Calculating discounts in stores. An 80% discount on a $450 item would leave you paying $90.
Taxes: Determining the amount of tax on a purchase.
Tips: Calculating a tip in a restaurant.
Grade Calculations: Determining your final grade in a course.

Conclusion

Calculating percentages is a fundamental skill with broad applications. We've explored three different methods to find that 80% of 450 is 360. Choose the method that best suits your needs and practice to build your confidence in tackling percentage problems. Remember, understanding percentages is key to navigating many everyday situations.