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Goodwill and Intangible Assets - Summary of Gross Carrying Amounts and Accumulated Amortization of Intangible Assets by Major Class (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 193,098 $ 201,223
Accumulated Amortization (183,398) (175,875)
Net Carrying Amount 9,700 25,348
Customer Relationships    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 104,498 110,485
Accumulated Amortization (95,315) (88,638)
Net Carrying Amount $ 9,183 $ 21,847
Weighted Average Remaining Life (Years) 1 year 8 months 12 days 2 years 2 months 12 days
Technology and Patents    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 88,600 $ 90,738
Accumulated Amortization (88,083) (87,237)
Net Carrying Amount $ 517 $ 3,501
Weighted Average Remaining Life (Years) 1 year 2 months 12 days 10 months 24 days