The paper presents the phenomenological analysis of the energy dependence for the ratio of elastic to total cross section in proton-proton and antiproton-proton scattering. The analytic functions based on the study of low-and high-energy experimental data for various scattering parameters provide the quantitative description of energy dependence of the ratio with statistically acceptable qualities in wide range of collision energy √ s ≥ 3 GeV in the case of the separate datasets for pp, pp collisions and at √ s ≥ 5 GeV for the joined experimental data ensemble. Based on the fit results the estimations are derived for the ratio of elastic to total cross section in pp scattering at various √ s up to energy frontier √ s = 10 PeV which can be useful for present and future hadron colliders as well as for cosmic ray measurements at ultra-high energies. The indication is observed for onset of the asymptotic region at √ s 5 − 10 PeV for the ratio of cross sections under consideration.