what is 80 of 28

Natashya

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26-12-2024

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What is 80% of 28? A Step-by-Step Guide

Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to determining grades. This article will walk you through how to calculate 80% of 28, explaining the process step-by-step so you can easily understand and apply this to other percentage problems.

Understanding Percentages

A percentage is a fraction or ratio expressed as a number out of 100. For example, 80% can be written as 80/100, or as a decimal, 0.8. To find a percentage of a number, we multiply the number by the percentage expressed as a decimal.

Calculating 80% of 28

Here's how to calculate 80% of 28:

Step 1: Convert the percentage to a decimal.

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

80 ÷ 100 = 0.8

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.8) by the number (28):

0.8 x 28 = 22.4

Therefore, 80% of 28 is 22.4

Alternative Method: Using Fractions

You can also solve this problem using fractions. Remember that 80% is equivalent to the fraction 80/100, which can be simplified to 4/5.

Step 1: Express the percentage as a fraction.

80% = 80/100 = 4/5

Step 2: Multiply the fraction by the number.

(4/5) x 28 = (4 x 28) / 5 = 112 / 5 = 22.4

Again, we arrive at the same answer: 22.4

Practical Applications

Understanding how to calculate percentages is crucial in various situations, including:

• Sales and discounts: Calculating the final price after a discount.
• Finance: Determining interest earned or owed.
• Statistics: Analyzing data and interpreting results.
• Everyday life: Estimating tips, splitting bills, and understanding proportions.

This simple calculation demonstrates a fundamental concept in mathematics with wide-ranging practical applications. By understanding the steps involved, you can confidently tackle similar percentage problems in the future.