An arrangement for equalizing an offset between two pipe flanges, includes an arrangement for equalizing an offset between two pipe flanges, having adjustment rings, each having a recess which extends along an axis and about which a ring material extends in a circumferential direction, wherein at least two of the adjustment rings have two contact surfaces, the contact surfaces having flat, substantially circular contact surfaces at least along circular tracks concentric to the axis. A cross section of the ring material has a varying axial ring material thickness in the circumferential direction such that at least two of the adjustment rings have a wedge shape having an angular offset of the two contact surfaces relative to each other. The arrangement has at least three adjustment rings to flexibly compensate for different offset phenomena.