To find the percentage mark-up, we can use the formula:
\[ \text{Mark-up percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100 \]
In this case:
- Cost Price = $30
- Selling Price = $66
First, calculate the mark-up amount:
\[ \text{Mark-up amount} = \text{Selling Price} - \text{Cost Price} = 66 - 30 = 36 \]
Next, plug the values into the formula:
\[ \text{Mark-up percentage} = \left( \frac{36}{30} \right) \times 100 \]
Now, calculate the fraction:
\[ \frac{36}{30} = 1.2 \]
Then, multiply by 100 to convert to a percentage:
\[ 1.2 \times 100 = 120% \]
Thus, the mark-up percentage is
\[ \boxed{120%} \]