6 Is What Percent Of 80

6 is What Percent of 80? A Simple Percentage Calculation Explained

Finding out what percentage 6 represents of 80 is a common mathematical problem. This article will clearly explain the steps involved, offering a simple solution and demonstrating the process so you can easily apply it to other percentage calculations. Understanding percentages is crucial in various aspects of life, from calculating discounts to understanding financial reports.

Understanding the Problem: We need to determine what fraction of 80 the number 6 represents, then express that fraction as a percentage.

Method 1: Using the Percentage Formula

The fundamental formula for calculating percentages is:

(Part / Whole) * 100% = Percentage

In our case:

• Part: 6
• Whole: 80

Let's plug these values into the formula:

(6 / 80) * 100% = Percentage

This simplifies to:

(0.075) * 100% = 7.5%

Therefore, 6 is 7.5% of 80.

Method 2: Step-by-Step Breakdown

For a more intuitive understanding, let's break down the calculation into simpler steps:

1. Find the fraction: Express the relationship between 6 and 80 as a fraction: 6/80

2. Simplify the fraction (optional): This step isn't strictly necessary but helps with the next step. We can simplify 6/80 by dividing both the numerator and denominator by 2, resulting in 3/40.

3. Convert the fraction to a decimal: Divide the numerator (3) by the denominator (40): 3 ÷ 40 = 0.075

4. Convert the decimal to a percentage: Multiply the decimal by 100%: 0.075 * 100% = 7.5%

Again, we arrive at the answer: 6 is 7.5% of 80.

Applying this Knowledge:

This simple percentage calculation method can be used in a wide range of scenarios. For example:

• Discounts: If an item originally costs $80 and is discounted by $6, the discount is 7.5%.
• Grade Calculation: If you scored 6 points out of a possible 80 points on a test, your score is 7.5%.
• Sales Performance: If you had a target of 80 sales and achieved 6, your sales performance is at 7.5% of your goal.

Conclusion:

Calculating percentages is a fundamental skill with practical applications across numerous fields. By understanding the basic formula and the step-by-step method outlined above, you can confidently tackle percentage problems, regardless of their complexity. Remember the core principle: (Part / Whole) * 100% = Percentage. This simple equation will empower you to solve a wide variety of percentage-related questions.