14 is what percent of 32?

(1) 43.75%

Explanation

We will look for the key words is, of, and what percent in the percent sentence and translate them to mathematical symbols to form a percent equation.  Then we can solve the equation to find the unknown percent.

First, we translate

14 is what percent of 32?

14 = x • 32

• 14 is the amount
• x is the percent
• 32 is the base

This is the equation to solve

14 = x • 32

To undo the multiplication by 32 and isolate x on the right side of the equation, divide both side by 32.

$\frac{14}{\color{red}{32}} = \frac{x \cdot 32}{\color{red}{32}}$

To simplify the fraction on the right side of the equation, remove the common factor of 32 from the numerator and denominator.  On the left side, divide 14 by 32.

$\require{cancel} 0.4375 = \frac{x \cdot \cancel{32}^1}{\cancel{32}_1}$ 

$0.4375 = x$

To write the decimal 0.4375 as a percent, multiply it by 100 by moving the decimal point two places to the right, and then insert a % symbol.

43.75% = x

Thus, 14 is 43.75% of 32