We present a study on the structural and magnetic properties of thin films of the high entropy perovskite Dy(Fe_0.2Mn_0.2Co_0.2Cr_0.2Ni_0.2)O₃ (Dy5BO). An element-sensitive investigation was performed using synchrotron-based x-ray absorption spectroscopy, employing x-ray magnetic circular and linear dichroism. The results reveal that the moments residing on the 3d transition metal ions and the rare-earth Dy ions produce a saturation magnetization one order of magnitude larger than any previously studied high-entropy oxide perovskite. Employing temperature-dependent x-ray magnetic linear dichroism, we see clear features of a spin reorientation at the Mn and Fe sites, occurring around 18 K, likely driven by the interaction of the corresponding transition metal ions and Dy.