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Goodwill and Other Intangible Assets - Summary of Gross Carrying Amounts and Accumulated Amortization of Intangible Assets by Major Class (Details) - USD ($)
$ in Thousands
6 Months Ended 12 Months Ended
Mar. 31, 2020
Sep. 30, 2019
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 197,671 $ 221,540
Accumulated Amortization (142,564) (155,979)
Net Carrying Amount 55,107 65,561
Customer Relationships    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 108,034 104,783
Accumulated Amortization (67,887) (58,568)
Net Carrying Amount $ 40,147 $ 46,215
Weighted Average Remaining Life (Years) 3 years 4 months 24 days 4 years
Technology and Patents    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 89,637 $ 116,757
Accumulated Amortization (74,677) (97,411)
Net Carrying Amount $ 14,960 $ 19,346
Weighted Average Remaining Life (Years) 2 years 2 years 6 months