Given the two masses, the density is irrelevant to the calculation.
M.W. #HNO_3# = 63 kg/kmol. M.W. #H_2O# = 18 kg/kmol
Mole percent = moles solute/(moles solvent + moles solute)
125 kg #HNO_3# = 1.98 kmol ; 1 kg #H_2O# = 0.0556 kmol
Mole percent = 1.98/(0.0556 + 1.98) = 0.973, or 97.3% #HNO_3#