torque - Parallel axis theorem non-uniform density

The parallel axis theorem says that if the moment of inertia of a body rotating about the body's centre of mass is $I_{cm}$, then the moment of inertia of the body rotating about an axis parallel to the original axis and displaced from it a distance $d$ is $I_{S}=I_{cm}+Md^2$, where $M$ is the body's mass.

I know for a fact that this applies in cases of uniform density. Does this same theorem apply if the body's density is not uniform?