2 is 66.67% of 3.
Step 1: Translate the words into an equation.
2 | is | what percent | of | 3 |
2 | = | x | $ \cdot $ | 3 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 2 &= x \cdot 3 \\[1.2 em] 3 \cdot x &= 2 \\[1.2 em] x &= \dfrac{ 2 }{ 3 } \\[1.2 em] x &= 0.6667 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 0.6667 = 0.6667 ~~\cdot~~ 100 \% = 66.67 \% $$