  Using multiple scattering theory, we show that the generally accepted
expression of transverse resistivity in magnetic systems that host skyrmions,
given by the linear superposition of the ordinary (OHE), the anomalous (AHE)
and the topological Hall effect (THE), is incomplete and must be amended by an
additional term, the "non-collinear" Hall effect (NHE). Its angular form is
determined by the magnetic texture, the spin-orbit field of the electrons, and
the underlying crystal structure, allowing to disentangle the NHE from the
various other Hall contributions. Its magnitude is proportional to the
spin-orbit interaction strength. The NHE is an essential term required for
decoding two- and three-dimensional spin textures from transport experiments.
