We analyze the neutron-nucleus total reaction cross sections for all the available experimental data, in the energy range from about 10 MeV to 400 GeV. We obtain simple scaling laws proved to be valid over all the energy ranges studied and for stable nuclei of the whole mass number region. Moreover, the proton-nucleus and nucleus-nucleus total reaction cross sections are studied for all the available experimental data in the energy range from 1 GeV to 400 GeV and from 1A GeV to 20A GeV, respectively. We show that the scaling laws found for proton(nucleus)-nucleus total reaction cross sections, for energies less than 1 GeV, in our previous works [B. Abu-Ibrahim and A. Kohama, Phys. Rev. C 81, 057601 (2010); B. Abu-Ibrahim, ibid. 83, 044615 (2011)], are still valid in this energy region. The uncertainty of the prediction of the scaling laws is about 10%. Our findings, which are consistent with previously obtained results, are useful to predict total reaction cross sections for reactions involving nuclei with mass numbers larger than 8, and over a large energy scale.