  We study the Fulton-Macpherson operational Chow rings of good moduli spaces
of properly stable, smooth, Artin stacks. Such spaces are \'etale locally
isomorphic to geometric invariant theory quotients of affine schemes, and are
therefore natural extensions of GIT quotients. Our main result is that, with
rational coefficients, every operational class can be represented by a
so-called topologically strong cycle on the corresponding stack. Moreover, this
cycle is unique modulo rational equivalence on the stack. Using out methods, we
prove that if $X$ is the good moduli space of a properly stable, smooth, Artin
stack then the natural map from the Picard group of $X$ to the first
operational Chow group of $X$ is surjective with rational coefficients.
