What Percent Of 52 Is 39

What Percent of 52 is 39? A Simple Percentage Calculation Explained

Finding out what percentage 39 represents of 52 is a common mathematical problem. This article will not only provide the answer but also explain the method used, allowing you to solve similar percentage problems independently. Understanding percentage calculations is crucial in various aspects of life, from calculating discounts and tax to understanding statistics and financial data.

Understanding the Problem: We need to determine what fraction of 52 is equal to 39, and then express that fraction as a percentage. We can represent this problem mathematically as: X% of 52 = 39, where X is the percentage we need to find.

Method 1: Using Proportions

This method relies on setting up a proportion. A proportion is an equation stating that two ratios are equal. We can set up our proportion as follows:

• 39 / 52 = X / 100

In this proportion:

• 39 represents the part.
• 52 represents the whole.
• X represents the unknown percentage.
• 100 represents the total percentage (100%).

To solve for X, we cross-multiply:

• 39 * 100 = 52 * X
• 3900 = 52X
• X = 3900 / 52
• X = 75

Therefore, 39 is 75% of 52.

Method 2: Using Decimal Conversion

This method involves first converting the fraction 39/52 into a decimal and then multiplying by 100% to get the percentage.

1. Convert the fraction to a decimal: Divide 39 by 52: 39 ÷ 52 = 0.75

2. Convert the decimal to a percentage: Multiply the decimal by 100%: 0.75 * 100% = 75%

Again, this confirms that 39 is 75% of 52.

Practical Applications:

Understanding percentage calculations like this one has broad applications:

• Sales and Discounts: Calculating discounts offered on products. For example, a 75% discount on a $52 item would be $39 off.
• Financial Analysis: Determining the percentage of a budget spent in a specific area.
• Statistical Analysis: Representing data as percentages to make it easier to understand and compare.
• Grade Calculations: Calculating your final grade based on individual assignment scores.

Conclusion:

Determining what percentage 39 represents of 52 is easily achieved using either the proportion method or the decimal conversion method. Both methods yield the same result: 75%. Mastering these methods allows you to tackle various percentage problems confidently in various situations. Remember to always identify the part and the whole to correctly set up your calculation.