If 35% of a number Is 315, then what Is the number?

Options

A. 450
B. 900
C. 590
D. 720

Answer

To solve the problem "If 35% of a number is 315, then what is the number?", we can follow these steps:

### Step 1: Define the variable
Let the unknown number be represented by \( X \).

### Step 2: Set up the equation
According to the problem, 35% of \( X \) is equal to 315. We can express this mathematically as:
\[ 0.35X = 315 \]

### Step 3: Isolate \( X \)
To find \( X \), we need to isolate it. We can do this by dividing both sides of the equation by 0.35:
\[ X = \frac{315}{0.35} \]

### Step 4: Calculate \( X \)
Now, we perform the division:
\[ X = \frac{315}{0.35} = 315 \times \frac{100}{35} = 315 \times \frac{20}{7} = 900 \]

### Step 5: Conclusion
Thus, the number \( X \) is 900.

### Final Answer
The number is **900**.

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