This　paper　is　concerned　with　the　asymptotic　behaviors　of　global　strong　solutions　to　the　incompressible　non-resistive　viscous　magnetohydrodynamic　(MHD)　equations　with　large　initial　perturbations　in　two-dimensional　periodic　domains　in　Lagrangian　coordinates.　First,　motivated　by　the　odevity　conditions　imposed　in　Pan　et　al.　(2018)　[24],　we　prove　the　existence　and　uniqueness　of　strong　solutions　under　some　class　of　large　initial　perturbations,　where　the　strength　of　impressive　magnetic　fields　depends　increasingly　on　the　H-2-norm　of　the　initial　perturbation　value　of　both　the　velocity　and　magnetic　field.　Then,　we　establish　time-decay　rates　of　strong　solutions.　Moreover,　we　find　that　H-2-norm　of　the　velocity　decays　faster　than　the　perturbed　magnetic　field.　Finally,　by　developing　some　new　analysis　techniques,　we　show　that　the　strong　solution　converges　in　a　rate　of　the　field　strength　to　a　solution　of　the　corresponding　linearized　problem　as　the　strength　of　the　impressive　magnetic　field　goes　to　infinity.　In　addition,　an　extension　of　similar　results　to　the　corresponding　inviscid　case　with　damping　is　presented.　(C)　2021　Elsevier　Inc.　All　rights　reserved.