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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($)
$ in Thousands
Jun. 30, 2022
Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible $ (394,787) $ (376,002)
Net Carrying Amount - Finite-Lived Intangible 424,312  
Intangible Assets, Gross, Total 879,654 935,291
Intangible Assets, Net, Total 484,867 559,289
Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 647,688 685,862
Accumulated Amortization of Finite-Lived Intangible (286,021) (266,895)
Net Carrying Amount - Finite-Lived Intangible 361,667 418,967
Intellectual Property [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 12,414 15,806
Accumulated Amortization of Finite-Lived Intangible (12,414) (15,806)
Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 158,997 166,378
Accumulated Amortization of Finite-Lived Intangible (96,352) (93,301)
Net Carrying Amount - Finite-Lived Intangible 62,645 73,077
Tradenames [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets 60,555 67,245
Aerospace [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (289,169) (277,557)
Intangible Assets, Gross, Total 358,053 358,053
Intangible Assets, Net, Total 68,884 80,496
Aerospace [Member] | Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 281,683 281,683
Accumulated Amortization of Finite-Lived Intangible (220,270) (210,380)
Net Carrying Amount - Finite-Lived Intangible 61,413 71,303
Aerospace [Member] | Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 76,370 76,370
Accumulated Amortization of Finite-Lived Intangible (68,899) (67,177)
Net Carrying Amount - Finite-Lived Intangible 7,471 9,193
Industrial [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (105,618) (98,445)
Intangible Assets, Gross, Total 521,601 577,238
Intangible Assets, Net, Total 415,983 478,793
Industrial [Member] | Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 366,005 404,179
Accumulated Amortization of Finite-Lived Intangible (65,751) (56,515)
Net Carrying Amount - Finite-Lived Intangible 300,254 347,664
Industrial [Member] | Intellectual Property [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 12,414 15,806
Accumulated Amortization of Finite-Lived Intangible (12,414) (15,806)
Industrial [Member] | Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 82,627 90,008
Accumulated Amortization of Finite-Lived Intangible (27,453) (26,124)
Net Carrying Amount - Finite-Lived Intangible 55,174 63,884
Industrial [Member] | Tradenames [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets $ 60,555 $ 67,245