In a student election, Rahul got 66 % of the votes polled. If he got 363 votes, find the total number of votes polled.

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the Problem
Rahul received 66% of the total votes, and we know he got 363 votes. We need to find the total number of votes polled.

### Step 2: Set Up the Equation
Let the total number of votes be represented by \( x \). According to the problem, 66% of \( x \) is equal to 363 votes. We can write this as:
\[ 0.66 \times x = 363 \]

### Step 3: Convert Percentage to Fraction
We can also express 66% as a fraction:
\[ \frac{66}{100} \times x = 363 \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can rearrange the equation:
\[ x = \frac{363 \times 100}{66} \]

### Step 5: Simplify the Calculation
Now, let's simplify the right side:
1. First, calculate \( 363 \times 100 = 36300 \).
2. Next, divide \( 36300 \) by \( 66 \).

### Step 6: Perform the Division
To simplify \( \frac{36300}{66} \):
- We can simplify this fraction by dividing both the numerator and denominator by 3:
\[ \frac{36300 \div 3}{66 \div 3} = \frac{12100}{22} \]
- Now, divide \( 12100 \) by \( 22 \):
\[ 12100 \div 22 = 550 \]

### Conclusion
The total number of votes polled is \( 550 \).

### Final Answer
Total number of votes polled = **550**

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