  This work characterizes global quotient stacks---smooth stacks associated to
a finite group acting a manifold---among smooth quotient stacks $[M/G]$, where
$M$ is a smooth manifold equipped with a smooth proper action by a Lie group
$G$. The characterization is described in terms of the action of the connected
component $G_0$ on $M$ and is related to (stacky) fundamental group and
covering theory. This characterization is then applied to smooth toric
Deligne-Mumford stacks, and global quotients among toric DM stacks are then
characterized in terms of their associated combinatorial data of stacky fans.
