200=`?%` of 300

Options

A. `33 1/3%`
B. 85
C. `66 2/3%`
D. 150

Answer

To solve the question "200 = ?% of 300", we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Equation**: We need to express the statement "200 is ?% of 300" mathematically. This can be written as:
\[ 200 = \frac{X}{100} \times 300 \]
where \(X\) is the percentage we want to find.

2. **Rearrange the Equation**: To isolate \(X\), we can rearrange the equation:
\[ 200 = \frac{X \times 300}{100} \]
Multiplying both sides by 100 to eliminate the fraction gives:
\[ 200 \times 100 = X \times 300 \]
Simplifying this, we get:
\[ 20000 = X \times 300 \]

3. **Solve for X**: Now, divide both sides by 300 to solve for \(X\):
\[ X = \frac{20000}{300} \]

4. **Calculate the Value**: Performing the division:
\[ X = \frac{20000 \div 100}{300 \div 100} = \frac{200}{3} \]
To convert this into a percentage, we can calculate:
\[ X = 66.6667 \]
This can be expressed as:
\[ X = 66 \frac{2}{3} \% \]

### Final Answer:
Thus, \(200\) is \(66 \frac{2}{3} \%\) of \(300\).

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