Question
10 is what percent of 15?
Answer
10 is 66.67% of 15.
Explanation
Step 1: Translate the words into an equation.
| 10 | is | what percent | of | 15 |
| 10 | = | x | $ \cdot $ | 15 |
Step 2: Solve for $ x $.
$$ \begin{aligned} 10 &= x \cdot 15 \\[1.2 em] 15 \cdot x &= 10 \\[1.2 em] x &= \dfrac{ 10 }{ 15 } \\[1.2 em] x &= 0.6667 \end{aligned} $$Step 3: Express $ x $ as a percentage.
$$ x = 0.6667 = 0.6667 ~~\cdot~~ 100 \% = 66.67 \% $$This page was created using
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