what is 20 of $28

Natashya

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22-12-2024

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What is 20% of $28? A Simple Percentage Calculation

Finding a percentage of a number is a common task in everyday life, from calculating sales tax to determining discounts. This article will show you how to easily calculate 20% of $28, explaining the method step-by-step. We'll also look at different ways to approach the problem.

Understanding Percentages

A percentage is a fraction of 100. 20% means 20 out of 100, or 20/100, which simplifies to 1/5. Therefore, finding 20% of a number is the same as finding one-fifth of that number.

Method 1: Converting the Percentage to a Decimal

This is the most common method. To find 20% of $28, follow these steps:

1. Convert the percentage to a decimal: Divide the percentage by 100. 20% / 100 = 0.20

2. Multiply the decimal by the number: Multiply 0.20 by $28: 0.20 x $28 = $5.60

Therefore, 20% of $28 is $\boxed{5.60}.

Method 2: Using Fractions

As mentioned earlier, 20% is equivalent to 1/5. This method is often quicker for certain percentages:

1. Express the percentage as a fraction: 20% = 1/5

2. Multiply the fraction by the number: (1/5) x $28 = $28 / 5 = $5.60

Again, we arrive at the answer: 20% of $28 is $\boxed{5.60}.

Method 3: Using Proportions

This method is useful for understanding the underlying relationship:

We can set up a proportion:

20/100 = x/$28

Cross-multiply and solve for x:

100x = 20 * $28

100x = $560

x = $560 / 100

x = $5.60

So, 20% of $28 is $\boxed{5.60}.

Real-World Applications

This calculation is useful in many everyday situations, such as:

• Sales discounts: A 20% discount on a $28 item.
• Calculating tips: A 20% tip on a $28 meal.
• Commission: A 20% commission on a $28 sale.

Conclusion

Calculating percentages is a fundamental skill. Whether you use the decimal method, the fraction method, or proportions, the answer remains the same: 20% of $28 is $5.60. Understanding these methods will empower you to tackle similar percentage problems with confidence.