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
-
Convert the percentage to a decimal: To do this, divide the percentage by 100. 20% / 100 = 0.20
-
Multiply the decimal by the number: Multiply 0.20 by 67: 0.20 * 67 = 13.4
Therefore, 20% of 67 is
Method 2: Using Fractions
-
Convert the percentage to a fraction: As mentioned earlier, 20% is equivalent to 20/100, which simplifies to 1/5.
-
Multiply the fraction by the number: Multiply 1/5 by 67: (1/5) * 67 = 67/5
-
Convert the fraction to a decimal: Divide 67 by 5: 67/5 = 13.4
Again, we find that 20% of 67 is
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.
