82 is 109.33% of 75.
Step 1: Translate the words into an equation.
82 | is | what percent | of | 75 |
82 | = | x | $ \cdot $ | 75 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 82 &= x \cdot 75 \\[1.2 em] 75 \cdot x &= 82 \\[1.2 em] x &= \dfrac{ 82 }{ 75 } \\[1.2 em] x &= 1.0933 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 1.0933 = 1.0933 ~~\cdot~~ 100 \% = 109.33 \% $$