What percent of 60 is 3?
The Correct Answer and Explanation is:
To find what percent 3 is of 60, we can use the formula for calculating percentages:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
In this case, the part is 3, and the whole is 60. Substituting these values into the formula:
[
\text{Percentage} = \left(\frac{3}{60}\right) \times 100
]
First, we divide 3 by 60:
[
\frac{3}{60} = 0.05
]
Next, we multiply 0.05 by 100 to convert it into a percentage:
[
0.05 \times 100 = 5
]
So, 3 is 5% of 60.
Explanation:
A percentage is a way of expressing a number as a fraction of 100. In this case, we want to express 3 as a percentage of 60. By dividing 3 by 60, we find what fraction of 60 is represented by 3. The result, 0.05, tells us that 3 is 5 hundredths of 60, which can then be expressed as 5% by multiplying by 100.
This method is applicable in various real-world scenarios, such as calculating discounts, tax rates, or any situation where it is necessary to express a portion of a whole as a percentage. It is also useful when comparing different quantities in a way that is easy to understand. Percentages allow for a standardized way of expressing proportions and are widely used in education, business, finance, and many other fields to simplify calculations and make comparisons easier.
In summary, 3 is 5% of 60, which means that 3 represents 5 out of every 100 parts of 60.