What per cent of 150 is 45?

Options

A. `20%`
B. `30%`
C. `60%`
D. `13.5%`

Explanation

To find out what percent of 150 is 45, we can follow these steps:

### Step 1: Set up the equation
Let the percentage be represented by \( x \). We can express the problem as:
\[ \frac{x}{100} \times 150 = 45 \]

### Step 2: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ x \times 150 = 45 \times 100 \]

### Step 3: Calculate the right side
Now calculate \( 45 \times 100 \):
\[ 45 \times 100 = 4500 \]
So the equation now looks like:
\[ 150x = 4500 \]

### Step 4: Solve for \( x \)
Next, we divide both sides by 150 to solve for \( x \):
\[ x = \frac{4500}{150} \]

### Step 5: Perform the division
Now, we can simplify \( \frac{4500}{150} \):
\[ 4500 \div 150 = 30 \]

### Step 6: Conclusion
Thus, \( x = 30 \). This means that 45 is 30% of 150.

### Final Answer
Therefore, **30% of 150 is 45**.

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