Question
30 is what percent of 135?
Answer
30 is 22.22% of 135.
Explanation
Step 1: Translate the words into an equation.
| 30 | is | what percent | of | 135 |
| 30 | = | x | $ \cdot $ | 135 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 30 &= x \cdot 135 \\[1.2 em] 135 \cdot x &= 30 \\[1.2 em] x &= \dfrac{ 30 }{ 135 } \\[1.2 em] x &= 0.2222 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 0.2222 = 0.2222 ~~\cdot~~ 100 \% = 22.22 \% $$This page was created using
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