What Is 16 Out Of 25 As A Percentage

What is 16 out of 25 as a Percentage? A Simple Guide

Understanding Percentages: Percentages are a way of expressing a number as a fraction of 100. They're used everywhere, from calculating discounts in a store to understanding statistics in a report. Knowing how to convert fractions to percentages is a valuable skill. This article will show you exactly how to calculate 16 out of 25 as a percentage, and provide you with the tools to tackle similar problems.

Method 1: Using the Fraction Method

The most straightforward method involves converting the given numbers into a fraction and then converting that fraction into a percentage.

1. Form a Fraction: Represent "16 out of 25" as a fraction: 16/25.

2. Convert to Decimal: Divide the numerator (16) by the denominator (25): 16 ÷ 25 = 0.64

3. Convert to Percentage: Multiply the decimal by 100: 0.64 x 100 = 64%

Therefore, 16 out of 25 is 64%.

Method 2: Using Proportions

This method is useful for understanding the underlying relationship between fractions and percentages.

1. Set up a Proportion: We know that a percentage is a fraction out of 100. So, we set up a proportion:

   16/25 = x/100

2. Cross-Multiply: To solve for 'x' (our percentage), we cross-multiply:

   25x = 1600

3. Solve for x: Divide both sides by 25:

   x = 1600 ÷ 25 = 64

Therefore, x = 64%, confirming that 16 out of 25 is 64%.

Practical Applications:

Understanding how to calculate percentages has numerous real-world applications. Here are a few examples:

• Calculating Grades: If you answered 16 out of 25 questions correctly on a test, you achieved a score of 64%.
• Discount Calculations: A 64% discount on an item means you pay 36% of the original price.
• Statistical Analysis: Percentages are essential for representing data in various fields, including finance, science, and market research.

Conclusion:

Calculating percentages is a fundamental mathematical skill with widespread applications. By following the simple steps outlined above, you can easily determine that 16 out of 25 is equivalent to 64%. Remember these methods, and you'll be well-equipped to handle similar percentage calculations in the future. Whether you prefer the fraction method or the proportion method, both will lead you to the same accurate result. Now you can confidently tackle any percentage problem that comes your way!