What is 181.5% of 18? A. 3.267
B. 14.67
C. 32.67
D. 3267
The Correct Answer and Explanation is :
To find ( 181.5\% ) of ( 18 ), you can follow a straightforward calculation process. The percentage can be converted into a decimal by dividing by ( 100 ). Thus, ( 181.5\% ) becomes ( 1.815 ).
Now, you multiply this decimal by the number ( 18 ):
[
1.815 \times 18 = 32.67
]
This means that ( 181.5\% ) of ( 18 ) equals ( 32.67 ).
Explanation
- Understanding Percentages: A percentage represents a fraction of a whole. To convert a percentage to a decimal, divide by ( 100 ). For example, ( 50\% ) translates to ( 0.50 ), meaning half of something.
- Calculating Percentages: To calculate a percentage of a number, you can use the formula:
[
\text{Percentage of a number} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Number}
]
In our case, we take ( 181.5 ) and divide it by ( 100 ) to get ( 1.815 ). - Performing the Multiplication: The next step involves multiplying ( 1.815 ) by ( 18 ). This multiplication is straightforward. When calculated, it yields ( 32.67 ).
- Choosing the Correct Answer: Given the choices:
- A. ( 3.267 )
- B. ( 14.67 )
- C. ( 32.67 )
- D. ( 3267 ) The correct answer is C. ( 32.67 ).
Understanding percentages and how to compute them is a fundamental math skill applicable in various contexts, such as finance, statistics, and everyday life. This basic concept lays the groundwork for more complex mathematical operations, such as working with ratios, proportions, and financial calculations.