110 is 68.75% of 160.
Step 1: Translate the words into an equation.
110 | is | what percent | of | 160 |
110 | = | x | $ \cdot $ | 160 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 110 &= x \cdot 160 \\[1.2 em] 160 \cdot x &= 110 \\[1.2 em] x &= \dfrac{ 110 }{ 160 } \\[1.2 em] x &= 0.6875 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 0.6875 = 0.6875 ~~\cdot~~ 100 \% = 68.75 \% $$