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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Mar. 31, 2018
Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]    
Cost $ 240,799 $ 210,589
Accumulated Amortization 138,617 127,069
Net Book Value 102,182 83,520
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 9,028 9,028
Accumulated Amortization 7,883 7,729
Net Book Value 1,145 1,299
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 67,510 61,662
Accumulated Amortization 56,686 54,777
Net Book Value 10,824 6,885
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 9,417 9,244
Accumulated Amortization 5,522 4,969
Net Book Value 3,895 4,275
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 154,844 130,655
Accumulated Amortization 68,526 59,594
Net Book Value $ 86,318 $ 71,061