Complete The Following Statement:${ 84.375% \text{ Of } $32 = $ , }$

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Understanding Percentages

Percentages are a way to express a value as a fraction of 100. They are commonly used in various fields, including finance, science, and everyday life. In this article, we will focus on calculating percentages, specifically the percentage of a given value.

The Problem

We are given the following statement: 84.375%84.375\% of $32=$ ?\$32 = \$\, ?. Our goal is to calculate the value of the unknown variable.

Step 1: Convert the Percentage to a Decimal

To calculate the percentage of a value, we need to convert the percentage to a decimal. We can do this by dividing the percentage by 100.

84.375%=84.375100=0.8437584.375\% = \frac{84.375}{100} = 0.84375

Step 2: Multiply the Decimal by the Given Value

Now that we have the decimal equivalent of the percentage, we can multiply it by the given value to find the result.

0.84375×$32=$27.000.84375 \times \$32 = \$27.00

Step 3: Calculate the Result

Therefore, 84.375%84.375\% of $32\$32 is equal to $27.00\$27.00.

Conclusion

Calculating percentages is a simple process that involves converting the percentage to a decimal and then multiplying it by the given value. By following these steps, we can easily calculate the percentage of a value.

Real-World Applications

Percentages are used in various real-world applications, including:

  • Finance: Calculating interest rates, investment returns, and credit card balances.
  • Science: Measuring the concentration of a substance, the speed of a reaction, and the efficiency of a process.
  • Everyday Life: Calculating tips, discounts, and sales tax.

Tips and Tricks

  • Always convert the percentage to a decimal before multiplying it by the given value.
  • Use a calculator to simplify the calculation process.
  • Practice calculating percentages to become more comfortable with the process.

Common Mistakes

  • Forgetting to convert the percentage to a decimal.
  • Multiplying the percentage by the given value without converting it to a decimal.
  • Not checking the units of the result.

Conclusion

Calculating percentages is a fundamental skill that is used in various fields. By following the steps outlined in this article, we can easily calculate the percentage of a value. Remember to convert the percentage to a decimal and multiply it by the given value to get the result.

Final Answer

84.375%84.375\% of $32\$32 is equal to $27.00\$27.00.

Additional Resources

  • Khan Academy: Percentages
  • Mathway: Percentages
  • Wolfram Alpha: Percentages

Note: The final answer is $27.00\$27.00.

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Frequently Asked Questions

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of 100.

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, divide the percentage by 100. For example, 25% = 0.25.

Q: How do I calculate the percentage of a value?

A: To calculate the percentage of a value, multiply the decimal equivalent of the percentage by the given value. For example, 25% of $100 = 0.25 \times $100 = $25.

Q: What is the difference between a percentage and a decimal?

A: A percentage is a way to express a value as a fraction of 100, while a decimal is a way to express a value as a fraction with a denominator of 10.

Q: How do I calculate a percentage increase or decrease?

A: To calculate a percentage increase or decrease, first find the difference between the two values, then divide the difference by the original value and multiply by 100. For example, if a value increases from $100 to $120, the percentage increase is ($120 - $100) / $100 \times 100 = 20%.

Q: What is the formula for calculating a percentage?

A: The formula for calculating a percentage is: (part/whole) * 100.

Q: How do I calculate a percentage of a percentage?

A: To calculate a percentage of a percentage, multiply the two percentages together. For example, 25% of 50% = 0.25 * 0.5 = 0.125 or 12.5%.

Q: What is the difference between a percentage and a proportion?

A: A percentage is a way to express a value as a fraction of 100, while a proportion is a way to express a relationship between two values.

Q: How do I calculate a percentage of a mixed number?

A: To calculate a percentage of a mixed number, convert the mixed number to an improper fraction, then multiply the fraction by the percentage. For example, 25% of 3 1/2 = 0.25 * (3 + 1/2) = 0.25 * 7/2 = 0.875 or 87.5%.

Q: What is the formula for calculating a percentage of a decimal?

A: The formula for calculating a percentage of a decimal is: (decimal * 100).

Q: How do I calculate a percentage of a fraction?

A: To calculate a percentage of a fraction, convert the fraction to a decimal, then multiply the decimal by the percentage. For example, 25% of 1/2 = 0.25 * 0.5 = 0.125 or 12.5%.

Q: What is the difference between a percentage and a ratio?

A: A percentage is a way to express a value as a fraction of 100, while a ratio is a way to express a relationship between two values.

Q: How do I calculate a percentage of a percentage of a value?

A: To calculate a percentage of a percentage of a value, multiply the two percentages together, then multiply the result by the value. For example, 25% of 50% of $100 = 0.25 * 0.5 * $100 = $12.50.

Conclusion

Calculating percentages is a fundamental skill that is used in various fields. By understanding the basics of percentages and how to calculate them, you can become more confident in your math skills and make informed decisions in your personal and professional life.

Additional Resources

  • Khan Academy: Percentages
  • Mathway: Percentages
  • Wolfram Alpha: Percentages

Note: The answers to the questions are provided in the Q&A format.