1. The problem is to solve the equation $1.80 = \frac{n}{100} \times 30$ for $n$. 2. This equation represents a percentage problem where $n$ is the percentage of 30 that equals 1.80. 3. To isolate $n$, multiply both sides by 100 and then divide by 30: $$1.80 = \frac{n}{100} \times 30$$ $$1.80 = \frac{30n}{100}$$ $$1.80 \times 100 = 30n$$ $$180 = 30n$$ 4. Now divide both sides by 30 to solve for $n$: $$\frac{180}{\cancel{30}} = \frac{30n}{\cancel{30}}$$ $$6 = n$$ 5. Therefore, the value of $n$ is 6. 6. This means 6% of 30 is 1.80.