37.5% of ? = 375

Options

A. 500
B. 800
C. 1000
D. 900

Explanation

To solve the problem "37.5% of ? = 375", we can follow these steps:

### Step 1: Understand the equation
We need to express the problem mathematically. The statement "37.5% of ?" can be written as:
\[ 37.5\% \times x = 375 \]
where \( x \) is the unknown number we are trying to find.

### Step 2: Convert percentage to decimal
To solve for \( x \), we first convert 37.5% to a decimal. This can be done by dividing by 100:
\[ 37.5\% = \frac{37.5}{100} = 0.375 \]

### Step 3: Set up the equation
Now we can rewrite the equation using the decimal:
\[ 0.375 \times x = 375 \]

### Step 4: Isolate \( x \)
To find \( x \), we need to isolate it. We can do this by dividing both sides of the equation by 0.375:
\[ x = \frac{375}{0.375} \]

### Step 5: Perform the division
Now we perform the division:
\[ x = 375 \div 0.375 \]

To simplify this calculation, we can multiply both the numerator and the denominator by 1000 to eliminate the decimal:
\[ x = \frac{375 \times 1000}{0.375 \times 1000} = \frac{375000}{375} \]

Now we can divide:
\[ x = 1000 \]

### Conclusion
Thus, the value of \( x \) is 1000.