what percent is 48 out of 50

Natashya

2 min read

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23-12-2024

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Finding out what percentage 48 represents out of 50 is a common calculation. Whether you're grading exams, analyzing sales figures, or working on a school project, understanding how to perform this calculation is essential. This article will guide you through the process, offering different approaches for finding the answer and providing additional context for similar percentage problems.

Understanding Percentages

Before diving into the calculation, let's quickly review what percentages are. A percentage is a fraction or ratio expressed as a number out of 100. The symbol "%" signifies "out of 100." So, 50% means 50 out of 100, or 50/100, which simplifies to 1/2 or 0.5.

Method 1: Using a Fraction

The most straightforward method involves converting the given numbers into a fraction and then converting the fraction to a percentage.

1. Form a fraction: Represent "48 out of 50" as a fraction: 48/50.

2. Simplify the fraction (optional): Both 48 and 50 are divisible by 2, simplifying the fraction to 24/25. This isn't strictly necessary but can make the next step easier.

3. Convert to a decimal: Divide the numerator (top number) by the denominator (bottom number): 24 ÷ 25 = 0.96

4. Convert to a percentage: Multiply the decimal by 100: 0.96 x 100 = 96%

Therefore, 48 out of 50 is 96%.

Method 2: Using a Proportion

Another way to approach this problem is by setting up a proportion.

1. Set up a proportion: We know that x/100 = 48/50, where x represents the percentage we're trying to find.

2. Cross-multiply: This gives us 50x = 4800.

3. Solve for x: Divide both sides by 50: x = 4800 ÷ 50 = 96

Therefore, 48 out of 50 is 96%.

Method 3: Using a Calculator

Most calculators have a percentage function. Simply enter 48 ÷ 50 and then multiply by 100. The result will be 96%.

What if the Numbers are Different?

The methods described above can be applied to any similar problem. For example, to find what percent 30 is out of 75:

1. Fraction: 30/75 = 2/5 = 0.4 = 40%

2. Proportion: x/100 = 30/75 => 75x = 3000 => x = 40%

Conclusion

Calculating percentages is a fundamental skill with wide applications. Whether you prefer using fractions, proportions, or a calculator, the methods outlined above will help you accurately determine the percentage one number represents of another. Remember that 48 out of 50 is equivalent to 96%.