22 is 95.65% of 23.
Step 1: Translate the words into an equation.
22 | is | what percent | of | 23 |
22 | = | x | $ \cdot $ | 23 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 22 &= x \cdot 23 \\[1.2 em] 23 \cdot x &= 22 \\[1.2 em] x &= \dfrac{ 22 }{ 23 } \\[1.2 em] x &= 0.9565 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 0.9565 = 0.9565 ~~\cdot~~ 100 \% = 95.65 \% $$