A new approach to infer the momentum transport in tokamak core plasmas via perturbation experiments is presented. For the first time, the analysis self-consistently includes all momentum transport components and their time dependencies, which are essential to separate the momentum fluxes and closely match the experiment. The quantitative agreement between the experimentally inferred transport coefficients and the gyrokinetic predictions provides an unprecedented validation. This work shows that the new methodology and gyrokinetic predictions can now be utilized on the route to physics-based prediction of momentum transport in future reactor plasmas.