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what is 20 percent of 67

what is 20 percent of 67

2 min read 25-12-2024
what is 20 percent of 67

Introduction:

Figuring out percentages can seem daunting, but it's a fundamental skill with many real-world applications. This article will walk you through calculating 20 percent of 67, explaining the process step-by-step and offering additional tips for similar calculations. Understanding how to find 20 percent of 67 is useful in various situations, from calculating discounts to determining proportions.

Understanding Percentages

A percentage is a fraction or ratio expressed as a number out of 100. The symbol "%" represents "per cent," meaning "out of one hundred." So, 20% means 20 out of 100, or 20/100, which simplifies to 1/5.

Calculating 20% of 67: The Step-by-Step Method

There are two main ways to calculate 20% of 67:

Method 1: Using Decimal Conversion

  1. Convert the percentage to a decimal: To do this, divide the percentage by 100. 20% / 100 = 0.20

  2. Multiply the decimal by the number: Multiply 0.20 by 67: 0.20 * 67 = 13.4

Therefore, 20% of 67 is 13.4\boxed{13.4}

Method 2: Using Fractions

  1. Convert the percentage to a fraction: As mentioned earlier, 20% is equivalent to 20/100, which simplifies to 1/5.

  2. Multiply the fraction by the number: Multiply 1/5 by 67: (1/5) * 67 = 67/5

  3. Convert the fraction to a decimal: Divide 67 by 5: 67/5 = 13.4

Again, we find that 20% of 67 is 13.4\boxed{13.4}

Practical Applications of Percentage Calculations

Understanding percentage calculations is essential for various aspects of daily life, including:

  • Shopping: Calculating discounts, sales tax, and tips.
  • Finance: Determining interest rates, loan payments, and investment returns.
  • Data Analysis: Interpreting statistics and understanding proportions.

How to Calculate Other Percentages

The methods described above can be applied to calculate any percentage of any number. Simply replace the 20% with your desired percentage and the 67 with your chosen number. Remember to always convert the percentage to a decimal or fraction before performing the multiplication.

Conclusion: Mastering Percentage Calculations

Calculating 20 percent of 67, as demonstrated, is a straightforward process. By understanding the fundamental principles of percentages and the two methods outlined—decimal conversion and fraction conversion—you'll be well-equipped to tackle a wide range of percentage calculations in your daily life. Remember, practice makes perfect! Try calculating different percentages of various numbers to build your skills and confidence.

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