what percent is 39 out of 52

Natashya

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02-02-2025

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What Percent is 39 out of 52? A Step-by-Step Guide

Finding the percentage that 39 represents of 52 is a common calculation. Whether you're working on homework, analyzing data, or simply curious about the answer, understanding how to perform this calculation is valuable. This article will walk you through a step-by-step process, making it easy to understand. We'll also explore different methods to arrive at the solution, providing you with options that best suit your mathematical preferences. By the end, you'll be able to confidently tackle similar percentage problems.

Understanding the Problem:

The core of this problem is determining what proportion 39 represents out of a total of 52. This proportion will then be converted into a percentage. Percentages are essentially fractions out of 100.

Method 1: Using a Fraction and Decimal Conversion

1. Express as a Fraction: The first step is to express 39 out of 52 as a fraction: 39/52.

2. Simplify the Fraction (Optional): Both 39 and 52 are divisible by 13. Simplifying the fraction makes the next step easier: 39/52 simplifies to 3/4.

3. Convert to a Decimal: Divide the numerator (3) by the denominator (4): 3 ÷ 4 = 0.75

4. Convert to a Percentage: Multiply the decimal by 100: 0.75 x 100 = 75%

Therefore, 39 out of 52 is 75%.

Method 2: Direct Percentage Calculation

This method skips the fraction simplification step, using a direct calculation:

1. Set up the Equation: We want to find what percentage (x) 39 is of 52. This can be expressed as: (39/52) * 100 = x

2. Calculate the Percentage: Perform the calculation: (39/52) * 100 = 75%

Therefore, using this method also confirms that 39 out of 52 is 75%.

Method 3: Using a Calculator

Most calculators have a percentage function. Simply enter 39 ÷ 52 and then multiply the result by 100 to obtain the percentage.

Practical Applications:

Understanding percentage calculations has numerous practical applications in daily life, including:

• Calculating Grades: If you answered 39 out of 52 questions correctly on a test, you scored 75%.
• Financial Calculations: Determining discounts, interest rates, or profit margins often involves percentage calculations.
• Data Analysis: Representing data proportions visually, such as in charts and graphs, commonly utilizes percentages.

Conclusion:

We've explored three different methods to determine that 39 out of 52 is equal to 75%. The choice of method depends on personal preference and the tools available. Mastering these techniques will enhance your ability to solve various percentage problems effectively and efficiently. Remember that understanding the underlying principles—the relationship between fractions, decimals, and percentages—is crucial for success.