What percent is 15 of 50? Explain the steps in finding the percent
The Correct Answer and Explanation is :
The correct answer is: 15 is 30% of 50
To find out what percent 15 is of 50, you can follow these steps:
Step 1: Understand the Percent Formula
The basic formula to calculate the percentage of a part in relation to the whole is:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
In this case, the “Part” is 15, and the “Whole” is 50.
Step 2: Substitute the Values
Plug the values into the formula:
[
\text{Percentage} = \left(\frac{15}{50}\right) \times 100
]
Step 3: Calculate the Fraction
First, divide 15 by 50:
[
\frac{15}{50} = 0.3
]
Step 4: Multiply by 100
Now, multiply the result by 100 to convert it into a percentage:
[
0.3 \times 100 = 30
]
Conclusion
So, 15 is 30% of 50.
Explanation
Calculating a percentage is a useful skill that helps you understand proportions in real-life scenarios, such as determining discounts, sales tax, or comparing quantities. The percentage formula highlights the relationship between a part and a whole, where the part represents a specific quantity you want to measure, and the whole represents the total quantity.
In this example, by determining that 15 is 30% of 50, you can easily assess how much of the whole is represented by the part. This calculation can be applied in various contexts, from budgeting and finance to statistical analysis. Percentages are also helpful for visualizing data, as they provide a clear, understandable way to present information. Whether you’re a student, a professional, or someone managing household finances, being able to compute percentages quickly can be beneficial. In essence, mastering percentage calculations enables better decision-making and a clearer understanding of numerical relationships.