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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($)
$ in Thousands
Mar. 31, 2022
Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible $ (389,712) $ (376,002)
Net Carrying Amount - Finite-Lived Intangible 457,784  
Intangible Assets, Gross, Total 912,214 935,291
Intangible Assets, Net, Total 522,502 559,289
Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 671,440 685,862
Accumulated Amortization of Finite-Lived Intangible (281,484) (266,895)
Net Carrying Amount - Finite-Lived Intangible 389,956 418,967
Intellectual Property [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 12,466 15,806
Accumulated Amortization of Finite-Lived Intangible (12,466) (15,806)
Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 163,590 166,378
Accumulated Amortization of Finite-Lived Intangible (95,762) (93,301)
Net Carrying Amount - Finite-Lived Intangible 67,828 73,077
Tradenames [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets 64,718 67,245
Aerospace [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (285,297) (277,557)
Intangible Assets, Gross, Total 358,053 358,053
Intangible Assets, Net, Total 72,756 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 (216,973) (210,380)
Net Carrying Amount - Finite-Lived Intangible 64,710 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 (68,324) (67,177)
Net Carrying Amount - Finite-Lived Intangible 8,046 9,193
Industrial [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (104,415) (98,445)
Intangible Assets, Gross, Total 554,161 577,238
Intangible Assets, Net, Total 449,746 478,793
Industrial [Member] | Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 389,757 404,179
Accumulated Amortization of Finite-Lived Intangible (64,511) (56,515)
Net Carrying Amount - Finite-Lived Intangible 325,246 347,664
Industrial [Member] | Intellectual Property [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 12,466 15,806
Accumulated Amortization of Finite-Lived Intangible (12,466) (15,806)
Industrial [Member] | Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 87,220 90,008
Accumulated Amortization of Finite-Lived Intangible (27,438) (26,124)
Net Carrying Amount - Finite-Lived Intangible 59,782 63,884
Industrial [Member] | Tradenames [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets $ 64,718 $ 67,245