  The LHCb experiment has made several measurements in $b \to s$ transitions
which indicate tensions with the Standard Model predictions. Assuming the
source of these tensions to be new physics, we present new global fits to all
Wilson coefficients which can effectively receive beyond the Standard Model
contributions. While the theoretically clean ratios $R_{K^{(*)}}$ which are
sensitive to lepton flavour non-universality may unambiguously establish lepton
non-universal new physics in the near future, most of the other tensions with
the SM in the $b \to s$ data, in particular in the angular observables of the
$B\to K^* \mu\mu$ decay and in the branching ratio of the $B_s \to \phi \mu\mu$
decay, depend on the estimates of non-factorisable power corrections.
Therefore, we also analyse the dependence of the new global fit on these
corrections.
