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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
Mar. 31, 2024
Sep. 30, 2023
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 197,080 $ 196,144
Accumulated Amortization (194,330) (192,269)
Net Carrying Amount 2,750 3,875
Customer Relationships    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 107,417 106,713
Accumulated Amortization (104,667) (102,942)
Net Carrying Amount $ 2,750 $ 3,771
Weighted Average Remaining Life (Years) 1 year 1 year 6 months
Technology and Patents    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 89,663 $ 89,431
Accumulated Amortization (89,663) (89,327)
Net Carrying Amount $ 0 $ 104
Weighted Average Remaining Life (Years) 0 years 2 months 12 days