# 15 is what percent of 12?

Jan 16, 2017

15 is 125% of 12.

#### Explanation:

When translating a question from English to "math", it is useful to know what some key English words mean in math:

• "is" means $=$
• "percent" means $\times \frac{1}{100}$
• "of" means $\times$

With these key phrases in mind, it is not hard to translate the question:

$\textcolor{g r e y}{\text{15 is what percent of 12}}$
$15 = \text{ "x xx 1/100" } \times 12$

Having translated the question into math, we can simplify and solve for $x$:

$\text{ "15" } = \frac{12 x}{100}$

$\left({\text{^5cancel(15) * 100)/(}}^{4} \cancel{12}\right) = x$

$\frac{5 \cdot {\cancel{100}}^{25}}{{\cancel{4}}^{1}} = x$

$\text{ "5 * 25" "= x" } = 125$

So 15 is 125% of 12.

We can check this answer by asking, "What is 125% of 12?" (Using our translation method, this becomes $y = 125 \times \frac{1}{100} \times 12$.) You can see that this simplifies to finding the answer to $1.25 \times 12$, which is indeed 15.