If p% of p Is 36, then p is equal to:

Options

A. 3600
B. 600
C. 60
D. 15

Answer

To solve the problem "If p% of p is 36, then p is equal to:", we can follow these steps:

### Step 1: Understand the expression
We know that "p% of p" can be expressed mathematically as:
\[ \frac{p}{100} \times p \]
This simplifies to:
\[ \frac{p^2}{100} \]

### Step 2: Set up the equation
According to the problem, this expression equals 36:
\[ \frac{p^2}{100} = 36 \]

### Step 3: Eliminate the fraction
To eliminate the fraction, multiply both sides of the equation by 100:
\[ p^2 = 36 \times 100 \]
Calculating the right side gives:
\[ p^2 = 3600 \]

### Step 4: Solve for p
Now, to find p, we take the square root of both sides:
\[ p = \sqrt{3600} \]
Calculating the square root gives:
\[ p = 60 \]

### Step 5: Conclusion
Thus, the value of p is:
\[ \boxed{60} \]