# How do you find the percent change if original: 15.6 liters and new: 11.4 liters?

Nov 6, 2015

x=26.92% With the $\frac{c}{o} = \frac{x}{100}$ method.

#### Explanation:

To get % of change, you use $\frac{c}{o} = \frac{x}{100}$, where $c$ stands for the change between each number, and $o$ stands for the original number. $x$ is the percent you are trying to find, and is represented over $100$ since percent is the ratio of $100$.

So, the first step is to subtract each number from each other. $15.6 - 11.4 = 4.2$. $4.2$ is our $c$ value wince it is the change between each number. And of course, $o = 15.6$ since that is the original value.

Now you can set up your equation. $\frac{4.2}{15.6} = \frac{x}{100}$. Through cross multiplication, you can say that $15.6 x = 420$.

Your last step, of course is to solve for $x$. Divide each side by $15.6$, and that is your percent. x = 26.92%