The mechanism of shear thickening in dense suspensions has recently been shown to be consistent with a transition from lubricated rheology, where close interactions between suspended particles take place through a thin liquid film, to a frictional rheology, wherein particles experience frictional contacts. Particle simulations that led to this concept have been successful in quantitatively reproducing the non-Newtonian shear behavior of certain thickening suspensions, including discontinuous shear thickening. We still do not have a macroscopic continuum description of these suspensions that would enable prediction of the flow behavior under complex flow conditions, however. As a step towards developing a predictive theory we explore the effect of particle and fluid properties on the flow behavior using a mixing rule for lubricated and frictional rheologies that is applicable to both shear and normal stresses. We develop the full flow “phase” diagram for shearing motions.