In a sinusoidal amplitude modulation scheme (with carrier) the modulated signal is given by $A_m(t)=100\cos(\omega_ct) +50\cos(\omega_mt)\cos(\omega_ct)$, where $\omega_c$ is the carrier frequency and $\omega_m$ is the modulation frequency. The power carried by the sidebands in $\%$ of total power is _______________$\%$.