Ideal magnetohydrodynamic stability limits for various profiles of pressure and current density in reversed magnetic shear toroidal plasmas are numerically investigated. The plasma beta limits are calculated for n = 1 and ballooning modes, and the bootstrap current contribution is also computed. The results in the high-value regime of the plasma internal inductance contrast well with those in the low- regime and are very dependent on the choice of the pressure profile. In the high- regime the stability limit set by the n = 1 external mode without any external stabilizing wall can be significantly improved compared to that in the low- regime. This is more significant for a broader pressure profile. However, the bootstrap current profile in the high- regime is generally not well aligned with the total current profile. This is worse for broader pressure profiles. Also, if the pressure profile is not suitably chosen, the ballooning mode rather than the n = 1 mode can become the beta limiting mode.