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what is the percentage of 13 out of 16

what is the percentage of 13 out of 16

2 min read 04-02-2025
what is the percentage of 13 out of 16

Meta Description: Discover how to calculate the percentage of 13 out of 16. This easy-to-follow guide breaks down the steps, providing a clear and concise answer with practical applications. Learn to solve similar percentage problems with confidence!

Knowing how to calculate percentages is a fundamental skill with various applications in daily life, from calculating discounts to understanding statistics. This article will guide you through calculating the percentage of 13 out of 16.

Understanding Percentages

A percentage represents a fraction of 100. When we say "x percent," we mean x out of 100, or x/100. To calculate a percentage, we find the ratio of the part to the whole and multiply by 100%.

Calculating the Percentage: 13 out of 16

Here's how to calculate the percentage of 13 out of 16:

  1. Form a Fraction: First, express the problem as a fraction: 13/16. This represents the part (13) compared to the whole (16).

  2. Convert the Fraction to a Decimal: Divide the numerator (13) by the denominator (16): 13 ÷ 16 = 0.8125

  3. Convert the Decimal to a Percentage: Multiply the decimal by 100%: 0.8125 x 100% = 81.25%

Therefore, 13 out of 16 is 81.25%.

Alternative Method: Using Proportions

Another way to solve this problem is using proportions:

  • Set up a proportion: Let 'x' be the percentage we want to find. We can set up the proportion: 13/16 = x/100

  • Cross-multiply: Multiply 13 by 100 and 16 by x: 1300 = 16x

  • Solve for x: Divide both sides by 16: x = 1300/16 = 81.25

Again, we arrive at the answer: 81.25%

Practical Applications of Percentage Calculations

Understanding percentage calculations is crucial in many real-world situations:

  • Discounts: Calculating sale prices based on percentage discounts.
  • Taxes: Determining the amount of tax owed on purchases.
  • Statistics: Analyzing data and interpreting results presented as percentages.
  • Finance: Understanding interest rates and investment returns.
  • Grades: Calculating final grades based on weighted percentages of assignments.

Similar Percentage Problems

You can use the same methods outlined above to calculate the percentage for other similar problems. For example, to find the percentage of 5 out of 20, you would follow these steps:

  1. Fraction: 5/20
  2. Decimal: 5 ÷ 20 = 0.25
  3. Percentage: 0.25 x 100% = 25%

Mastering percentage calculations empowers you to confidently tackle various numerical problems encountered in everyday life and professional settings. Remember the steps: fraction, decimal, then percentage!

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