180 is 150% of 120.
Step 1: Translate the words into an equation.
180 | is | what percent | of | 120 |
180 | = | x | $ \cdot $ | 120 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 180 &= x \cdot 120 \\[1.2 em] 120 \cdot x &= 180 \\[1.2 em] x &= \dfrac{ 180 }{ 120 } \\[1.2 em] x &= 1.5 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 1.5 = 1.5 ~~\cdot~~ 100 \% = 150 \% $$