  Electrons moving through a noncoplanar magnetic texture acquire a Berry
phase, which can be described as an effective magnetic field. This effect is
known as the topological Hall effect and has been observed in topological spin
textures. Motivated by recent experimental realizations, here we study the Hall
effect in a nontopological magnetic texture known as a target skyrmion. We
start from a simplified semiclassical picture and show that the Hall signal is
a nonmonotonic function of both the electronic energy and target skyrmion
radius. That observation carries over to the fully quantum mechanical treatment
in a Landauer-B\"uttiker formalism in a mesoscopic setting. Our conclusion
challenges the popular opinion in the community that the Hall effect in such
structures necessarily requires a nonzero skyrmion number.
