What Is 24 Percent Of 75

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

Calculating percentages is a fundamental skill in many areas of life, from budgeting and shopping to understanding statistics and data analysis. This article will guide you through calculating "what is 24 percent of 75?" step-by-step, explaining the process clearly and providing additional context for understanding percentage calculations. Knowing how to perform these calculations can significantly improve your mathematical literacy and problem-solving abilities.

Understanding Percentages

A percentage is a fraction of 100. When we say "24 percent," we mean 24 parts out of 100. The symbol "%" represents "percent," and it's a convenient way to express proportions and ratios. Calculating a percentage of a number involves finding that specific fraction of the number.

Methods for Calculating 24% of 75

There are several ways to calculate 24% of 75. Let's explore two common methods:

Method 1: Using Decimal Conversion

This method involves converting the percentage to a decimal and then multiplying it by the number.

1. Convert the percentage to a decimal: To convert 24% to a decimal, divide it by 100: 24% / 100 = 0.24

2. Multiply the decimal by the number: Multiply the decimal (0.24) by the number (75): 0.24 * 75 = 18

Therefore, 24% of 75 is 18.

Method 2: Using Fractions

This method involves converting the percentage to a fraction and then multiplying it by the number.

1. Convert the percentage to a fraction: 24% can be written as the fraction 24/100.

2. Simplify the fraction (optional): The fraction 24/100 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4: 24/100 = 6/25

3. Multiply the fraction by the number: Multiply the simplified fraction (6/25) by the number (75): (6/25) * 75 = 18

Therefore, 24% of 75 is 18.

Practical Applications

Understanding how to calculate percentages has many real-world applications. For example:

• Sales and discounts: Calculating the discount amount on a sale item.
• Taxes and tips: Determining the tax amount on a purchase or the tip amount at a restaurant.
• Finance and investments: Calculating interest earned or lost on investments.
• Data analysis: Interpreting statistical data presented as percentages.

Conclusion

Calculating 24% of 75, whether using the decimal conversion method or the fraction method, results in the answer 18. Mastering percentage calculations is a valuable skill that can be applied to a wide variety of situations. Remember to practice these methods to improve your understanding and proficiency.