Let \( x \) be the number of surfboards sold last week. According to the problem, 320 percent of \( x \) equals the number of surfboards sold this week (160 surfboards).
We can express this mathematically as:
\[ 3.2x = 160 \]
To find \( x \), we will divide both sides of the equation by 3.2:
\[ x = \frac{160}{3.2} \]
Calculating the right side:
\[ x = 50 \]
Thus, Sunny’s Surf Shop sold 50 surfboards last week.
The answer is \( \boxed{50} \).