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what percentage is 79 out of 180

what percentage is 79 out of 180

less than a minute read 29-09-2024
what percentage is 79 out of 180

What Percentage is 79 Out of 180? Understanding Percentages

Percentages are a powerful tool for expressing parts of a whole, and understanding how to calculate them is essential for many aspects of life, from budgeting to analyzing data.

The Question:

Many students and individuals encounter the need to calculate percentages, and a common question is: "What percentage is 79 out of 180?" Let's break down the steps to find the answer.

The Solution:

  1. Set up a Proportion: The core of percentage calculations lies in understanding that a percentage represents a fraction out of 100. We can express this relationship as a proportion:

    • Part / Whole = Percentage / 100

    In our case:

    • 79 / 180 = x / 100

    Where 'x' represents the unknown percentage we want to find.

  2. Solve for x: To find the percentage, we need to solve for 'x'. We can do this by cross-multiplying:

    • 79 * 100 = 180 * x
    • 7900 = 180x
  3. Isolate x: Divide both sides of the equation by 180:

    • x = 7900 / 180
    • x ≈ 43.89

The Answer:

Therefore, 79 out of 180 is approximately 43.89%.

Practical Application:

Imagine you are taking a test with 180 questions, and you answered 79 correctly. This calculation tells you that you achieved a score of approximately 43.89%.

Additional Explanation:

It's important to remember that percentages are just a way of expressing a fraction out of 100. So, 43.89% is equivalent to 43.89/100 or 0.4389 in decimal form. This means that 79 represents about 43.89% of the total number 180.

Sources:

This explanation was inspired by answers found on Brainly.com, a platform where students can ask and answer questions.

  • Brainly User: "How to find percentage of a number? Example: What percentage is 79 out of 180?"
  • Brainly Answer: "To find what percentage 79 is of 180, follow these steps:
  1. Divide 79 by 180: 79 / 180 = 0.438888889
  2. Multiply the result by 100: 0.438888889 x 100 = 43.89% Therefore, 79 is 43.89% of 180."

Conclusion:

Calculating percentages is a fundamental skill with wide-ranging applications. By understanding the concept of proportions and following the steps outlined above, you can confidently calculate any percentage you need. Remember, practice makes perfect!

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