16% of a number is 216. What is 37% of that number?

Options

A. 498.5
B. 490.2
C. 496.8
D. None of these

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Define the variable
Let the unknown number be \( x \).

### Step 2: Set up the equation
According to the problem, 16% of \( x \) is equal to 216. We can express this mathematically as:
\[ 0.16x = 216 \]

### Step 3: Solve for \( x \)
To find \( x \), we need to isolate it. We can do this by dividing both sides of the equation by 0.16:
\[ x = \frac{216}{0.16} \]

### Step 4: Perform the division
Calculating \( \frac{216}{0.16} \):
\[ x = 216 \div 0.16 = 1350 \]

### Step 5: Find 37% of \( x \)
Now that we have \( x \), we need to calculate 37% of \( x \):
\[ 0.37x = 0.37 \times 1350 \]

### Step 6: Perform the multiplication
Calculating \( 0.37 \times 1350 \):
\[ 0.37 \times 1350 = 499.5 \]

### Final Answer
Thus, 37% of the number is:
\[ \boxed{499.5} \]

---