  The purpose of this paper and its prequel (Toric Stacks I) is to introduce
and develop a theory of toric stacks which encompasses and extends the notions
of toric stacks defined in [Laf02, BCS05, FMN10, Iwa09, Sat12, Tyo12], as well
as classical toric varieties.
  While the focus of the prequel is on how to work with toric stacks, the focus
of this paper is how to show a stack is toric. For toric varieties, a classical
result says that any normal variety with an action of a dense open torus arises
from a fan. In [FMN09, Theorem 7.24], it is shown that a smooth separated DM
stack with an action of a dense open stacky torus arises from a stacky fan. In
the same spirit, the main result of this paper is that any Artin stack with an
action of a dense open torus arises from a stacky fan under reasonable
hypotheses.
