If 30 % of x is 72, then x is equal to

Options

A. 120
B. 240
C. 360
D. 480

Answer

To solve the problem "If 30% of x is 72, then x is equal to," we can follow these steps:

### Step 1: Write the equation for the given percentage
We know that 30% of x is equal to 72. We can express this mathematically as:
\[ \frac{30}{100} \times x = 72 \]

### Step 2: Simplify the percentage
We can simplify \(\frac{30}{100}\) to \(\frac{3}{10}\):
\[ \frac{3}{10} \times x = 72 \]

### Step 3: Solve for x
To isolate x, we can multiply both sides of the equation by the reciprocal of \(\frac{3}{10}\), which is \(\frac{10}{3}\):
\[ x = 72 \times \frac{10}{3} \]

### Step 4: Calculate the right side
Now we can perform the multiplication:
\[ x = \frac{720}{3} \]

### Step 5: Divide to find x
Now, we divide 720 by 3:
\[ x = 240 \]

Thus, the value of x is:
\[ \boxed{240} \]

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