what percentage is 17 out of 24

Natashya

2 min read

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24-12-2024

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Knowing how to calculate percentages is a valuable skill in many areas of life, from figuring out tips at restaurants to understanding financial reports. This article will show you exactly how to determine what percentage 17 represents out of 24. We'll break it down step-by-step, so you can easily follow along and apply this method to other percentage problems.

Understanding Percentages

Before diving into the calculation, let's quickly review what a percentage is. A percentage is a fraction or ratio expressed as a number out of 100. For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

Calculating the Percentage: 17 out of 24

To find out what percentage 17 is of 24, we'll follow these simple steps:

Step 1: Set up the Fraction

First, represent the problem as a fraction: 17/24. This means 17 parts out of a total of 24 parts.

Step 2: Convert the Fraction to a Decimal

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number):

17 ÷ 24 ≈ 0.7083

Step 3: Convert the Decimal to a Percentage

Finally, multiply the decimal by 100 to express it as a percentage:

0.7083 × 100 ≈ 70.83%

Therefore, 17 out of 24 is approximately 70.83%.

Rounding Percentages

You'll often need to round percentages to a certain number of decimal places. In this case, we rounded to two decimal places (70.83%). The level of precision you need will depend on the context. For some situations, rounding to the nearest whole number (71%) might be sufficient.

Alternative Method: Using Proportions

Another way to solve this problem is by using proportions:

• We know that x/100 = 17/24 (x represents the percentage we're trying to find).
• Cross-multiply: 24x = 1700
• Solve for x: x = 1700 / 24 ≈ 70.83

This method leads to the same result: approximately 70.83%.

Practical Applications

Understanding percentage calculations is crucial in various real-world scenarios:

• Calculating Grades: If you got 17 out of 24 questions correct on a test, your score is approximately 70.83%.
• Financial Calculations: Determining interest rates, discounts, or tax amounts often involves percentage calculations.
• Data Analysis: Percentages are used extensively in analyzing data and presenting information clearly.

This detailed explanation should help you confidently calculate percentages in the future. Remember the simple steps: fraction, decimal, percentage! Now you know exactly what percentage 17 out of 24 represents.