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what is 118 out of 150

what is 118 out of 150

2 min read 26-12-2024
what is 118 out of 150

Understanding fractions, decimals, and percentages is crucial in various aspects of life, from calculating grades to determining discounts. This article will guide you through calculating what 118 out of 150 represents as a fraction, decimal, and, most importantly, a percentage. We'll also explore different methods for solving similar problems.

Understanding the Basics: Fractions, Decimals, and Percentages

Before diving into the specific calculation, let's refresh our understanding of these three interconnected concepts:

  • Fraction: A fraction represents a part of a whole. In this case, 118 out of 150 can be written as the fraction 118/150. The top number (118) is the numerator, and the bottom number (150) is the denominator.

  • Decimal: A decimal is another way to express a fraction. To convert a fraction to a decimal, you divide the numerator by the denominator.

  • Percentage: A percentage represents a fraction out of 100. Percentages are frequently used to express proportions and ratios.

Calculating 118 out of 150 as a Percentage

There are two primary methods for calculating the percentage:

Method 1: Using the Formula

The most straightforward way to calculate the percentage is using the following formula:

(Part / Whole) * 100% = Percentage

In this instance:

(118 / 150) * 100% = 78.67% (approximately)

Therefore, 118 out of 150 is approximately 78.67%.

Method 2: Converting to a Decimal First

Alternatively, you can first convert the fraction to a decimal and then multiply by 100%:

  1. Convert to decimal: 118 ÷ 150 = 0.786666...
  2. Multiply by 100%: 0.786666... * 100% ≈ 78.67%

Both methods yield the same result.

What does 78.67% mean?

A score of 78.67% indicates that you have achieved 78.67 out of every 100 points possible. This is a relatively high score, placing you in the upper range of performance. Whether this is considered "good" or "bad" depends on the context (e.g., a test grade, a sales target, etc.).

How to Apply This Knowledge to Other Scenarios

The same method can be used for any "X out of Y" calculation:

  1. Identify the part (X) and the whole (Y).
  2. Divide the part by the whole (X/Y).
  3. Multiply the result by 100% to express it as a percentage.

For example, if you scored 85 out of 100 on a test, the calculation would be: (85/100) * 100% = 85%.

Conclusion

118 out of 150 is equivalent to approximately 78.67%. Understanding how to calculate percentages is a valuable skill applicable in numerous situations. By following the steps outlined above, you can confidently calculate percentages for various scenarios. Remember to always clearly identify the "part" and the "whole" to ensure accurate results.

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