A compression system is disclosed having a compressor and a seal package including a non-contact seal and one or more radial shaft seals. In one form the non-contact seal is placed in proximity to a high pressure portion of the compressor. The offset of the non-contact seal from a shaft used to drive the compressor allows some amount of pressure reduced leakage air to pass. A radial shaft seal is coupled to the shaft axial aft of the non-contact seal on the other side of the compressor and oriented to discourage further passage of the leakage air past the radial shaft seal. A vent conveys leakage air to return to the compressor. A backup radial shaft seal can be used axially aft of the first radial shaft seal. A further radial shaft seal is disposed adjacent to the backup seal and oriented in the other direction to seal lubricant for a bearing.