1. **State the problem:** Solve for $x$ in the equation $$\frac{x}{20} = \sqrt{9\%}.$$\n\n2. **Understand the components:** The percentage $9\%$ means $\frac{9}{100} = 0.09$.\n\n3. **Rewrite the equation:** $$\frac{x}{20} = \sqrt{0.09}.$$\n\n4. **Calculate the square root:** $$\sqrt{0.09} = 0.3.$$\n\n5. **Substitute back:** $$\frac{x}{20} = 0.3.$$\n\n6. **Solve for $x$ by multiplying both sides by 20:** $$x = 20 \times 0.3.$$\n\n7. **Calculate the product:** $$x = 6.$$\n\n**Final answer:** $$x = 6.$$