what percent is 1 of 15

Charlotte

2 min read

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11-02-2025

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Calculating percentages is a fundamental skill with many real-world applications. Whether you're figuring out discounts, calculating grades, or understanding statistical data, knowing how to determine percentages is crucial. This article will clearly explain how to calculate what percent 1 is of 15. We'll break it down step-by-step, making it easy to understand, even for those who aren't math enthusiasts.

Understanding Percentages

A percentage represents a fraction of 100. For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2. To find what percent 1 is of 15, we need to convert the fraction 1/15 into a percentage.

Calculating the Percentage: Step-by-Step

Here's how to determine what percent 1 represents of 15:

Step 1: Set up the Fraction

First, express the problem as a fraction: 1/15. This represents 1 out of 15.

Step 2: Convert the Fraction to a Decimal

To convert the fraction to a decimal, divide the numerator (1) by the denominator (15):

1 ÷ 15 = 0.066666...

Step 3: Convert the Decimal to a Percentage

To convert the decimal to a percentage, multiply by 100 and add the percent sign (%):

0.066666... × 100 ≈ 6.67%

Therefore, 1 is approximately 6.67% of 15.

Alternative Method: Using Proportions

Another approach involves setting up a proportion:

Let x be the percentage we want to find.

x/100 = 1/15

To solve for x, cross-multiply:

15x = 100

x = 100/15

x ≈ 6.67%

This method confirms our earlier calculation.

Practical Applications

Understanding percentage calculations like this one has numerous practical applications:

• Discounts: If an item is discounted by 1 out of 15, it's a 6.67% discount.
• Test Scores: If you got 1 question correct out of 15, your score is approximately 6.67%.
• Surveys and Statistics: Percentages are frequently used to represent data in surveys and statistical analyses.

Conclusion: Mastering Percentage Calculations

Calculating what percent 1 is of 15, or any similar percentage problem, is straightforward using basic arithmetic. By following the steps outlined above, you'll be able to confidently tackle percentage calculations in various contexts. Remember, practice is key to mastering this important skill. The more you practice, the more comfortable and efficient you’ll become.