Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
A. Percent = 75, Amount = 45, Base = 60
B. Percent = 75, Amour = 60, Base = 45
C. Percent = 60, Amount = 27, Base = 45
D. Percent = 45, Amount =27, Base = 60
The Correct Answer and Explanation is:
The problem asks: “What percent of 60 is 45?” To solve this, we need to determine the percent, amount, and base.
Step-by-Step Solution:
- Identify the formula:
To find the percent, we use the formula for percent calculation:
[
\text{Percent} = \left( \frac{\text{Amount}}{\text{Base}} \right) \times 100
] - Define the terms:
- Amount: The part of the base we are interested in. In this case, the Amount is 45.
- Base: The total or whole from which the amount is taken. Here, the Base is 60.
- Percent: The percentage we are trying to find.
- Substitute the known values into the formula:
Using the formula for percent:
[
\text{Percent} = \left( \frac{45}{60} \right) \times 100
] - Perform the division:
[
\frac{45}{60} = 0.75
] - Convert to a percentage:
Multiply 0.75 by 100:
[
0.75 \times 100 = 75
]
So, 75% of 60 is 45.
Conclusion:
The correct answer is:
A. Percent = 75, Amount = 45, Base = 60
Explanation of Percent, Amount, and Base:
- Percent refers to the proportion out of 100. In this case, 75% means that 45 is 75% of 60.
- Amount is the value we are comparing to the base. Here, 45 is the amount that is being measured.
- Base is the total or whole value, from which the amount is derived. In this case, 60 is the base.
This problem illustrates how to find the percentage using the ratio of the amount to the base, and then multiplying by 100 to express the result as a percentage.