5 Is What Percent Of 75

5 is What Percent of 75? A Simple Percentage Calculation Explained

Meta Description: Learn how to calculate percentages easily! This guide walks you through solving "5 is what percent of 75?" step-by-step, providing a clear understanding of the process and offering practical tips for similar percentage problems.

Finding the percentage one number represents of another is a common calculation in many areas, from calculating discounts to understanding financial reports. This article will show you how to solve the problem "5 is what percent of 75?" We'll break down the process into simple steps, making it easy to understand and apply to other percentage problems.

Understanding the Basics of Percentages

A percentage is a fraction expressed as a number out of 100. For example, 50% is equivalent to 50/100, or 1/2. Calculating percentages involves understanding the relationship between a part and a whole. In our problem, "5" is the part, and "75" is the whole.

Calculating "5 is What Percent of 75?" - Step-by-Step

Here's how to solve the problem:

1. Set up the equation: We need to find what percentage 5 represents of 75. We can express this as a fraction: 5/75.

2. Convert the fraction to a decimal: Divide the part (5) by the whole (75): 5 ÷ 75 = 0.066666...

3. Convert the decimal to a percentage: Multiply the decimal by 100: 0.066666... × 100 = 6.67% (rounded to two decimal places).

Therefore, 5 is approximately 6.67% of 75.

Alternative Method: Using Proportions

Another way to solve this is by using proportions. We can set up a proportion like this:

x/100 = 5/75

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

75x = 500

Then divide both sides by 75:

x = 500/75 = 6.67%

This method provides the same result: 5 is approximately 6.67% of 75.

Practical Applications and Further Learning

Understanding percentage calculations is crucial in many real-world situations. Here are some examples:

• Calculating discounts: If an item is discounted by 20%, you'll need to calculate the percentage to find the final price.
• Analyzing financial statements: Understanding profit margins and other financial metrics often involves calculating percentages.
• Interpreting statistics: Many statistical analyses rely heavily on percentage calculations.

Mastering percentage calculations is a valuable skill. With practice, you'll be able to solve these types of problems quickly and confidently. Try practicing with different numbers to solidify your understanding. You can even create your own word problems to challenge yourself! For example, try figuring out what percentage 12 is of 48, or what percentage 25 is of 200.