  Using $e^+ e^-$ collision data collected at the BESIII detector at
center-of-mass energies between 4.128 and 4.226 GeV, corresponding to an
integrated luminosity of $7.33~{\rm fb}^{-1}$, we determine the absolute
branching fractions of fifteen hadronic $D_s^{+}$ decays with a double-tag
technique. In particular, we make precise measurements of the branching
fractions $\mathcal{B}(D_s^+ \to K^+ K^- \pi^+)=(5.49 \pm 0.04 \pm 0.07)\%$,
$\mathcal{B}(D_s^+ \to K_S^0 K^+)=(1.50 \pm 0.01 \pm 0.01)\%$ and
$\mathcal{B}(D_s^+ \to K^+ K^- \pi^+ \pi^0)=(5.50 \pm 0.05 \pm 0.11)\%$, where
the first uncertainties are statistical and the second ones are systematic. The
\emph{CP} asymmetries in these decays are also measured and all are found to be
compatible with zero.
