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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Dec. 31, 2018
Sep. 30, 2018
Finite-Lived Intangible Assets [Line Items]    
Cost $ 385,518 $ 198,918
Accumulated Amortization 106,285 98,962
Net Book Value 279,233 99,956
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 5,302 5,302
Accumulated Amortization 4,401 4,325
Net Book Value 901 977
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 88,475 44,829
Accumulated Amortization 30,790 28,934
Net Book Value 57,685 15,895
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 25,316 6,298
Accumulated Amortization 3,444 2,953
Net Book Value 21,872 3,345
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 266,425 142,489
Accumulated Amortization 67,650 62,750
Net Book Value $ 198,775 $ 79,739