what percentage is 8 of 13

Natashya

less than a minute read

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26-12-2024

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Determining what percentage 8 represents of 13 involves a straightforward calculation. This article will guide you through the process, providing a clear understanding of the steps involved and offering additional examples for practice.

Understanding Percentages

Before diving into the calculation, let's refresh our understanding of percentages. 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: 8 of 13

To find what percentage 8 is of 13, we follow these steps:

Step 1: Set up the Fraction

First, express the relationship between 8 and 13 as a fraction: 8/13. This represents 8 parts out of a total of 13 parts.

Step 2: Convert the Fraction to a Decimal

Next, divide the numerator (8) by the denominator (13):

8 ÷ 13 ≈ 0.615

Step 3: Convert the Decimal to a Percentage

To convert the decimal to a percentage, multiply the decimal by 100 and add the "%" symbol:

0.615 x 100 = 61.5%

Therefore, 8 is approximately 61.5% of 13.

Rounding Percentages

Notice we used "approximately" in the answer. This is because the decimal result (0.6153846...) is a non-terminating decimal. We rounded to one decimal place for simplicity. Depending on the context, you might round to a whole number (62%) or use more decimal places for greater precision.

Practical Applications and Examples

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

• Discounts: Calculating the sale price after a percentage discount.
• Taxes: Determining the amount of tax to be paid on a purchase.
• Grades: Converting a score out of a total possible score to a percentage grade.
• Statistics: Analyzing data and presenting results as percentages.

Here are a few more examples to practice:

• What percentage is 5 of 20? (Answer: 25%)
• What percentage is 12 of 30? (Answer: 40%)
• What percentage is 7 of 15? (Answer: Approximately 46.7%)

By mastering the steps outlined above, you'll be able to confidently calculate percentages in any situation. Remember to always set up the fraction correctly and pay attention to rounding as needed.