45 is what percent of 180?

Problem: Find what percent $45$ is of $180$, represented as $45 = p\% \cdot 180$.

Steps

1. Set up the percentage equation
   $$45 = \frac{p}{100} \cdot 180$$
2. Multiply both sides by 100
   $$4500 = 180p$$
3. Divide both sides by 180
   $$p = \frac{4500}{180}$$
4. Simplify the fraction
   $$p = 25$$