What Percent Of 75 Is 24

What Percent of 75 is 24? A Step-by-Step Guide

Meta Description: Learn how to calculate what percentage 24 represents of 75. This step-by-step guide provides a clear explanation and practical examples to help you master percentage calculations.

Finding what percentage one number represents of another is a common mathematical task, useful in various real-world scenarios – from calculating discounts and sales tax to understanding statistical data. This article will walk you through the process of determining what percent of 75 is 24. We'll cover the calculation method, provide a step-by-step solution, and explore alternative approaches.

Understanding Percentage Calculations

Before diving into the specific problem, let's refresh the concept of percentages. A percentage is a fraction expressed as a number out of 100. For instance, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

To calculate a percentage, we use the following formula:

(Part / Whole) * 100% = Percentage

In our case, the "part" is 24, and the "whole" is 75. We want to find the percentage that 24 represents of 75.

Step-by-Step Calculation: What Percent of 75 is 24?

Here's how to solve the problem using the formula:

1. Identify the parts: We have the part (24) and the whole (75).

2. Set up the equation: Substitute the values into the formula: (24 / 75) * 100% = Percentage

3. Perform the division: Divide 24 by 75: 24 / 75 = 0.32

4. Multiply by 100: Multiply the result by 100 to convert the decimal to a percentage: 0.32 * 100% = 32%

Therefore, 24 is 32% of 75.

Alternative Approach: Using Proportions

Another way to solve this problem is to use proportions. We can set up a proportion:

24/75 = x/100

Where 'x' represents the percentage we are trying to find. To solve for 'x', cross-multiply:

75x = 2400

Then, divide both sides by 75:

x = 2400 / 75 = 32

Therefore, x = 32%, confirming our previous result.

Practical Applications and Further Exploration

Understanding percentage calculations has widespread applications. You can use this knowledge to:

• Calculate discounts: If an item is discounted by 32%, you can easily find the sale price.
• Analyze data: Percentages are essential for interpreting statistical data and trends.
• Determine tax amounts: Calculating sales tax or other percentage-based taxes.
• Compare values: Expressing changes or differences as percentages for better understanding.

This detailed explanation provides a solid foundation for understanding percentage calculations. Practice solving similar problems to further solidify your understanding and build confidence in tackling percentage-related tasks. Remember to always clearly identify the "part" and the "whole" before applying the formula.