# 14 is 35% of what number?

Feb 18, 2017

The number is $40$

#### Explanation:

Percentage questions can always be solved by using direct proportion , which is the same as using equivalent fractions.

If $14$ represents 35% of a certain number, 100% will give us the actual number.

14/35 = x/100" " (larr"the number")/(larr"the percent")

$35 x = 14 \times 100 \text{ } \leftarrow$ cross-multiply

$x = \frac{14 \times 100}{35}$

$x = 40$

Another method would be to write and equation and solve it.

Let the number be $x$

35% xx x = 14

$\frac{35}{100} x = 14$

$x = \frac{14 \times 100}{35}$

$x = 40$

Note that we end up with the same calculation but with two different thinking methods and approaches.