High School

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Study the table.

[tex]
\[
\begin{tabular}{|c|c|}
\hline
Part & Whole \\
\hline
18 & 20 \\
\hline
$x$ & 100 \\
\hline
\end{tabular}
\]
[/tex]

What percent is 18 out of 20, and why?

A. [tex]$5 \%$[/tex] because [tex]$1 + 20 = 0.05$[/tex]

B. [tex]$18 \%$[/tex] because [tex]$18 + 100 = 0.18$[/tex]

C. [tex]$20 \%$[/tex] because [tex]$20 \div 100 = 0.20$[/tex]

(Note: The provided answer choices are incorrect. The correct calculation for 18 out of 20 as a percentage is [tex]\((18/20) \times 100 = 90\%\)[/tex].)

Answer :

To find out what percent 18 is out of 20, follow these steps:

1. Understand the relationship: We are asked to determine the percentage of a part (18) in relation to the whole (20).

2. Set up the formula for percentage:
[tex]\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\][/tex]

3. Plug in the values: Use the given numbers, where the part is 18 and the whole is 20:
[tex]\[
\text{Percentage} = \left( \frac{18}{20} \right) \times 100
\][/tex]

4. Perform the division:
[tex]\[
\frac{18}{20} = 0.9
\][/tex]

5. Multiply by 100 to convert to a percentage:
[tex]\[
0.9 \times 100 = 90
\][/tex]

Therefore, 18 is 90% of 20. So the correct answer is 90%.

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