A trimming device for trimming a carcass part having a skin and/or fat side, including a blade having a cutting edge facing a front face of the carcass part, and a blade holder for holding the blade. The blade holder has a tiltable blade holder segment and a non-tiltable blade holder segment rotatably coupled to the non-tiltable blade holder segment around an axis of rotation parallel to a conveying direction along which the carcass part is transported to the trimming device, and an actuator configured to tilt the tiltable blade holder segment relative to the non-tiltable blade holder segment based on information concerning a profile of the skin and/or fat side. A geometry of the cutting edge changes when the tiltable blade holder segment is tilted relative to the non-tiltable blade holder segment by the actuator to trim the skin and/or fat side into a predetermined shape.