# What percent of 17.5 is 12?

Sep 25, 2017

68.57%  of $17.5$ is $12$

#### Explanation:

Let $x$ be the percent of 17.5 that is 12

We can write the expression as:

$\frac{x}{100} \setminus \times 17.5 = 12$

transposition

$\frac{x}{100} \setminus \times 17.5 = 12$

$x \setminus \times 17.5 = 12 \setminus \times 100$

$x = \frac{12 \setminus \times 100}{17.5}$

$x = 68.57$ --------(approximately after truncating the value up to two decimal places)

68.57%  of $17.5$ is $12$

Sep 25, 2017

=68 4/7% or 68.6 to one decimal place.

#### Explanation:

To find what percent one quantity is of another, you can use the method:

"fraction" xx 100%

It is easier to ask the question the other way round because that helps to identify the fraction. One number is a fraction of another.

What percent is 12 " out of " 17.5?

12/17.5 color(blue)(xx 100%)" "larr (color(blue)(xx 100% = xx1))

$= 68.57142857 \ldots .$

(You might recognise the recurring decimals as 'sevenths')

=68 4/7% or 68.6 to one decimal place.