Question
14 is what percent of 40?
Answer
14 is 35% of 40.
Explanation
Step 1: Translate the words into an equation.
| 14 | is | what percent | of | 40 |
| 14 | = | x | $ \cdot $ | 40 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 14 &= x \cdot 40 \\[1.2 em] 40 \cdot x &= 14 \\[1.2 em] x &= \dfrac{ 14 }{ 40 } \\[1.2 em] x &= 0.35 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 0.35 = 0.35 ~~\cdot~~ 100 \% = 35 \% $$This page was created using
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