A \( 2.0 \, \text{g} \) sample containing \( \mathrm{MnO_2} \) is treated with \( \mathrm{HCl} \) liberating \( \mathrm{Cl_2} \). The \( \mathrm{Cl_2} \) gas is passed into a solution of \( \mathrm{KI} \) and \( 60.0 \, \text{mL} \) of \( 0.1 \, \text{M} \) \( \mathrm{Na_2S_2O_3} \) is required to titrate the liberated iodine. The percentage of \( \mathrm{MnO_2} \) in the sample is ______ (nearest integer) [Atomic masses (in \( \text{u} \)) \( \mathrm{Mn} = 55 \); \( \mathrm{Cl} = 35.5 \); \( \mathrm{O} = 16 \), \( \mathrm{I} = 127 \), \( \mathrm{Na} = 23 \), \( \mathrm{K} = 39 \), \( \mathrm{S} = 32 \)]