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what is 95 of 60

what is 95 of 60

2 min read 05-02-2025
what is 95 of 60

What is 95% of 60? A Step-by-Step Guide

Finding percentages is a common calculation used in many aspects of life, from calculating discounts to determining grades. Understanding how to calculate percentages helps you make informed decisions in everyday situations. This article will guide you through calculating 95% of 60, explaining the process step-by-step.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 95% means 95 out of 100, or 95/100.

Calculating 95% of 60: The Method

There are two primary ways to calculate 95% of 60:

Method 1: Using the Decimal Equivalent

This method is generally faster and easier for most calculations. We convert the percentage to its decimal equivalent by dividing it by 100.

  1. Convert the percentage to a decimal: 95% divided by 100 = 0.95

  2. Multiply the decimal by the number: 0.95 * 60 = 57

Therefore, 95% of 60 is 57\boxed{57}.

Method 2: Using Fractions

This method is helpful for understanding the underlying concept. We represent the percentage as a fraction and then simplify.

  1. Express the percentage as a fraction: 95% = 95/100

  2. Multiply the fraction by the number: (95/100) * 60

  3. Simplify the fraction: We can simplify this by canceling out common factors. Both 60 and 100 are divisible by 20: (19/20) * 60 = (19 * 3) = 57

Therefore, 95% of 60 is 57\boxed{57}.

Practical Applications

Understanding percentage calculations has numerous practical applications. For example:

  • Sales and Discounts: Calculating the discount amount on a sale item. If an item is 95% off, you would multiply the original price by 0.95 to find the discounted price.
  • Taxes: Determining the amount of tax owed on a purchase. Sales tax rates are expressed as percentages.
  • Grades and Scores: Calculating your final grade based on percentages of different assignments.
  • Statistics and Data Analysis: Percentages are crucial for interpreting and presenting data.

Conclusion

Calculating 95% of 60, whether using the decimal equivalent or the fraction method, results in the answer 57\boxed{57}. Mastering percentage calculations empowers you to handle various real-world situations more efficiently. Remember to choose the method that best suits your needs and understanding. The decimal method is often quicker for everyday calculations, while the fraction method provides a deeper understanding of the mathematical principle.

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