Find The Percent Of The Number.$75\%$ Of 48 Is $\square$.

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Understanding Percentages

Percentages are a way to express a value as a fraction of 100. They are often used to represent a proportion or a part of a whole. In this article, we will focus on finding the percentage of a given number.

What is a Percentage?

A percentage is a number that represents a part of a whole as a fraction of 100. For example, 75% is equal to 75/100, which can be simplified to 3/4.

Finding Percentages: A Step-by-Step Guide

To find the percentage of a given number, you can follow these steps:

  1. Identify the percentage: Determine the percentage you want to find. In this case, we want to find 75% of 48.
  2. Convert the percentage to a decimal: Convert the percentage to a decimal by dividing by 100. In this case, 75% is equal to 0.75.
  3. Multiply the decimal by the number: Multiply the decimal by the number you want to find the percentage of. In this case, we multiply 0.75 by 48.
  4. Calculate the result: Calculate the result of the multiplication.

Calculating 75% of 48

Let's follow the steps above to calculate 75% of 48.

  1. Identify the percentage: We want to find 75% of 48.
  2. Convert the percentage to a decimal: 75% is equal to 0.75.
  3. Multiply the decimal by the number: We multiply 0.75 by 48.
  4. Calculate the result: The result of the multiplication is 36.

Conclusion

In this article, we learned how to find the percentage of a given number. We followed a step-by-step guide to calculate 75% of 48, which resulted in 36. By following these steps, you can find the percentage of any number.

Real-World Applications

Finding percentages is a useful skill in many real-world applications, such as:

  • Finance: Understanding percentages is essential in finance, where interest rates, investment returns, and credit card balances are often expressed as percentages.
  • Business: Percentages are used in business to calculate profit margins, sales growth, and market share.
  • Science: Percentages are used in science to express the concentration of a solution, the percentage of a substance in a mixture, and the accuracy of a measurement.

Common Percentage Calculations

Here are some common percentage calculations:

  • Finding a percentage of a number: To find a percentage of a number, multiply the number by the decimal equivalent of the percentage.
  • Finding the percentage increase: To find the percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100.
  • Finding the percentage decrease: To find the percentage decrease, subtract the new value from the original value, divide by the original value, and multiply by 100.

Tips and Tricks

Here are some tips and tricks to help you with percentage calculations:

  • Use a calculator: When working with large numbers, it's often easier to use a calculator to find the percentage.
  • Check your units: Make sure to check your units when working with percentages to ensure that you are using the correct units.
  • Use a percentage chart: A percentage chart can be a useful tool when working with percentages, as it allows you to quickly look up the decimal equivalent of a percentage.

Conclusion

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of 100. It is often used to represent a proportion or a part of a whole.

Q: How do I find a percentage of a number?

A: To find a percentage of a number, you can follow these steps:

  1. Identify the percentage: Determine the percentage you want to find.
  2. Convert the percentage to a decimal: Convert the percentage to a decimal by dividing by 100.
  3. Multiply the decimal by the number: Multiply the decimal by the number you want to find the percentage of.
  4. Calculate the result: Calculate the result of the multiplication.

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. For example, 75% is equal to 3/4, which is a proportion.

Q: How do I find the percentage increase or decrease?

A: To find the percentage increase or decrease, you can follow these steps:

  1. Subtract the original value from the new value: Subtract the original value from the new value to find the difference.
  2. Divide the difference by the original value: Divide the difference by the original value to find the decimal equivalent of the percentage increase or decrease.
  3. Multiply by 100: Multiply the decimal equivalent by 100 to find the percentage increase or decrease.

Q: What is the formula for finding a percentage?

A: The formula for finding a percentage is:

Percentage = (Decimal equivalent of percentage) x (Number)

For example, to find 75% of 48, you would use the formula:

Percentage = (0.75) x (48)

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

A: To convert a percentage to a decimal, you can divide the percentage by 100. For example, to convert 75% to a decimal, you would divide 75 by 100, which equals 0.75.

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. For example, 3:4 is a ratio, while 75% is a percentage.

Q: How do I find the percentage of a mixed number?

A: To find the percentage of a mixed number, you can follow these steps:

  1. Convert the mixed number to an improper fraction: Convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator.
  2. Find the decimal equivalent of the percentage: Find the decimal equivalent of the percentage by dividing the percentage by 100.
  3. Multiply the decimal equivalent by the improper fraction: Multiply the decimal equivalent by the improper fraction to find the percentage of the mixed number.

Q: What is the formula for finding the percentage of a mixed number?

A: The formula for finding the percentage of a mixed number is:

Percentage = (Decimal equivalent of percentage) x (Improper fraction)

For example, to find 75% of 3 1/4, you would use the formula:

Percentage = (0.75) x (13/4)

Conclusion

In conclusion, finding percentages is a useful skill that has many real-world applications. By following the steps outlined in this article, you can find the percentage of any number. Remember to use a calculator, check your units, and use a percentage chart to help you with your calculations.