what percent is 2 of 15

Charlotte

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11-02-2025

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What Percent is 2 of 15? A Simple Guide to Percentage Calculations

Finding what percent 2 is of 15 is a common percentage problem. Understanding how to solve this is crucial for various applications, from calculating discounts to understanding statistical data. This article will guide you through the process, explaining the method and providing a step-by-step solution. We'll also look at alternative methods and practical applications.

Understanding Percentages

A percentage represents a fraction of 100. When we say "x% of y," we mean (x/100) * y. In our case, we want to find what percentage 2 represents when compared to 15.

Method 1: Using Proportions

This is a straightforward method that relies on setting up a proportion:

• Step 1: Set up the proportion. We can represent the problem as a fraction: 2/15. We want to find the equivalent fraction with a denominator of 100, which represents the percentage. This can be written as:

  2/15 = x/100

• Step 2: Solve for x. To solve for x, we cross-multiply:

  15x = 200

• Step 3: Isolate x. Divide both sides by 15:

  x = 200/15 = 13.333...

• Step 4: Express as a percentage. Rounding to two decimal places, x ≈ 13.33%.

Therefore, 2 is approximately 13.33% of 15.

Method 2: Using the Formula

We can also use a direct formula:

(Part / Whole) * 100% = Percentage

In our problem:

(2 / 15) * 100% ≈ 13.33%

Method 3: Using a Calculator

Most calculators have a percentage function. Simply divide 2 by 15 and then multiply the result by 100. This will directly give you the percentage.

Practical Applications

Understanding percentage calculations is vital in many real-world scenarios, including:

• Calculating discounts: If an item is discounted by 13.33%, and the original price is $15, the discount is $2.
• Analyzing data: If 2 out of 15 students passed an exam, the pass rate is approximately 13.33%.
• Understanding financial statements: Percentage changes in profits, revenue, or expenses are frequently used in financial analysis.

Conclusion

Determining what percent 2 is of 15 involves simple arithmetic. Whether you use proportions, a formula, or a calculator, the answer remains consistent: approximately 13.33%. Mastering this fundamental skill will greatly enhance your ability to handle various percentage-related problems in daily life and professional settings. Remember to always round your answer appropriately based on the context of the problem.