The correlation of the depth of origin (DoO) of sputtered atoms with relevant properties of the bombarded target has not yet been clarified in a satisfactory manner. We have carried out SDTrimSP (Monte Carlo) simulations to study the dependence of depth differential sputtering yields on the following parameters: the position of the primary knock-on atom, the surface binding energy, E s , the target density, N, and the target atomic number, Z 2 . All calculations were performed with normally incident projectiles, either Xe or targetatom-like, with energies between 40 eV and 10 keV. The mean DoO, x , was found to depend on E s, with a power p between 0.10 (0.1 keV) and 0.26 (10 keV Xe). In prior work, lack of knowledge of this weak E s -dependence did not allow the relation between x and N to be uncovered properly. To proceed further, differential yields were calculated for targets ranging from carbon to uranium with deliberately varied N, but keeping E s fixed (4.72 eV). The product N x turned out to depend very little on N. Hence, it is appropriate to specify the origin of sputtered atoms in terms of the equivalent areal density rather than in units depth. For medium-mass or heavy target atoms, i.e., for Z 2 > 20, N x was largely independent of Z 2 . For Z 2 < 20, N x increased with decreasing Z 2 . Projected ranges x p calculated for targetatom-like projectiles at energies ≤ 40 eV exhibited almost the same Z 2 -dependence as x . This finding suggests that x is determined by the range of the recoils mobilized in the collision cascade. The results of this study are compared with previously published data, with sometimes distinctly different definitions of x . The idea is recapitulated that the most appropriate way of quantifying the DoO is to quote the fraction of atoms ejected from the top (or outermost) layer of atoms. The fractions determined by SDTrimSP range from about 98% to 75%, for impact energies between 40eV and 10 keV and Z 2 > 20.