In this paper, a new analytical formulation is presented for calculating shielding effectiveness (SE) of shielding enclosure including satellite electronic components and equipments. The shielding enclosure has a dielectric-backed aperture. The SE may be a function of frequency, dielectric constant, and position within the enclosure. And, the formulation has been extended for calculation of the SE of the structure where the one side of dielectric is partially backed by conductor. Our simulation results give that the dielectric material lowers the Q factor, and the further the observation point is from the aperture, the more SE increases.