# 51% of what number is 103?

Apr 13, 2018

$x = 201.96 \ldots .$

#### Explanation:

We can express 51% as $0.51$, so
$0.51 x = 103$ Divide both sides by $0.51$
$x = 201.96 \ldots .$
Check: 201.96 * 51% =~ 103

Apr 13, 2018

$= 201 \frac{49}{51}$

#### Explanation:

You can write an equation using $x$ for the number and then solve it ..

51% of some number is equal to $103$

$\frac{51}{100} \times x = 103$

$x = \frac{103 \times 100}{51}$

$x = 201 \frac{49}{51}$

Or you can set up a direct proportion:

51/103 = 100/x" "(larr"percent")/(larr"numbers")

$x = \frac{103 \times 100}{51}$

$= 201 \frac{49}{51}$

As a decimal it is $201.96$, but this has been rounded off so it is not accurate.