108 Out Of 120 As A Percentage

108 out of 120 as a Percentage: A Comprehensive Guide

Calculating percentages is a fundamental skill applicable across various fields, from academic assessments to financial calculations. This article will guide you through calculating "108 out of 120 as a percentage," explaining the process step-by-step and providing context for understanding percentage calculations. Understanding this simple calculation can help with everything from grading tests to analyzing sales figures.

To find the percentage, we'll use a straightforward formula. First, we'll divide the part (108) by the whole (120), then multiply the result by 100 to express it as a percentage. This method is applicable for any "part out of whole" percentage calculation.

Understanding the Formula

The fundamental formula for calculating percentages is:

(Part / Whole) * 100% = Percentage

In our case:

(108 / 120) * 100% = Percentage

Step-by-Step Calculation

1. Divide the part by the whole: 108 divided by 120 equals 0.9

2. Multiply by 100: 0.9 multiplied by 100 equals 90

3. Add the percentage symbol: The final answer is 90%

Therefore, 108 out of 120 is 90%.

Practical Applications and Context

Understanding percentage calculations has numerous practical applications:

• Academic Performance: If a student scored 108 out of 120 on a test, their score is 90%. This allows for easy comparison of scores across different tests or assignments.

• Sales and Marketing: Businesses use percentages to track sales targets, conversion rates, and market share. For example, achieving 108 sales out of a target of 120 represents 90% achievement.

• Financial Calculations: Percentages are crucial in finance for calculating interest rates, discounts, profit margins, and more.

• Data Analysis: Percentage calculations are fundamental for interpreting data and presenting findings clearly and concisely in various fields, from science to economics.

Beyond the Basics: Simplifying Calculations

For some percentage calculations, simplifying the fraction before calculating can make the process easier. In this specific instance, both 108 and 120 are divisible by 12:

108 / 12 = 9 120 / 12 = 10

This simplifies the fraction to 9/10. Multiplying 9/10 by 100% still yields 90%.

This simplification technique can be particularly helpful with larger numbers.

Conclusion

Calculating percentages is a crucial skill with broad applications. By following the simple formula and understanding the underlying principles, you can confidently calculate percentages in various contexts. Remember the key formula: (Part / Whole) * 100% = Percentage. This knowledge will empower you to analyze data, interpret results, and make informed decisions across a wide array of situations.