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\begin{equation}
\colorbox{black!10!white}{$P_{c} = \frac{F_{c} \ \cdot \ v_{c}}{60000}$} \label{eq:Leistungsberechnung}
\end{equation}

\documentclass{article}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{empheq}
\begin{document}
\begin{empheq}[box=\colorbox{black!10!white}]{equation}
P_{c} = \frac{F_{c} \ \cdot \ v_{c}}{60000} \label{eq:Leistungsberechnung}
\end{empheq}
\end{document}