Simple Precentage

the price went from 2300 to 1995, how many percentages cheaper did the price become?

$\begin{array}{rcll} \text{price}_\text{old} - \text{price}_\text{old} \cdot x &=& \text{price}_\text{new} \qquad &| \qquad \cdot(-1)\\ -\text{price}_\text{old} + \text{old price} \cdot x &=& -\text{price}_\text{new} \qquad &| \qquad +\text{price}_\text{old}\\ \text{price}_\text{old} \cdot x &=& \text{price}_\text{old}-\text{price}_\text{new}\qquad &| \qquad :\text{price}_\text{old}\\ x &=& \frac{ \text{price}_\text{old}-\text{price}_\text{new} }{ \text{price}_\text{old} }\\ x &=& \frac{ 2300-1995 }{ 2300 } \\ x &=& 0.13260869565 \\ x &=& 13.260869565\ \% \end{array}$

13.260869565  %  cheaper did the price become

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