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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 30, 2018
Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]    
Cost $ 250,390 $ 210,589
Accumulated Amortization 144,195 127,069
Net Book Value 106,195 83,520
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 9,028 9,028
Accumulated Amortization 7,960 7,729
Net Book Value 1,068 1,299
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 74,747 61,662
Accumulated Amortization 57,734 54,777
Net Book Value 17,013 6,885
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 9,404 9,244
Accumulated Amortization 5,785 4,969
Net Book Value 3,619 4,275
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 157,211 130,655
Accumulated Amortization 72,716 59,594
Net Book Value $ 84,495 $ 71,061