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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, 2025
Sep. 30, 2024
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible $ (451,809) $ (440,603)
Net Carrying Amount - Finite-Lived Intangible 367,130  
Intangible Assets, Gross, Total 886,866 881,022
Intangible Assets, Net, Total 435,057 440,419
Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 683,087 680,713
Accumulated Amortization of Finite-Lived Intangible (370,532) (360,543)
Net Carrying Amount - Finite-Lived Intangible 312,555 320,170
Intellectual Property [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 3,139 3,139
Accumulated Amortization of Finite-Lived Intangible (3,139) (3,139)
Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 132,119 131,827
Accumulated Amortization of Finite-Lived Intangible (77,544) (76,329)
Net Carrying Amount - Finite-Lived Intangible 54,575 55,498
Other [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 594 592
Accumulated Amortization of Finite-Lived Intangible (594) (592)
Trade Name [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets 67,927 64,751
Aerospace [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (290,686) (286,498)
Intangible Assets, Gross, Total 326,253 326,253
Intangible Assets, Net, Total 35,567 39,755
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 (249,870) (246,152)
Net Carrying Amount - Finite-Lived Intangible 31,813 35,531
Aerospace [Member] | Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 44,570 44,570
Accumulated Amortization of Finite-Lived Intangible (40,816) (40,346)
Net Carrying Amount - Finite-Lived Intangible 3,754 4,224
Industrial [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (161,123) (154,105)
Intangible Assets, Gross, Total 560,613 554,769
Intangible Assets, Net, Total 399,490 400,664
Industrial [Member] | Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 401,404 399,030
Accumulated Amortization of Finite-Lived Intangible (120,662) (114,391)
Net Carrying Amount - Finite-Lived Intangible 280,742 284,639
Industrial [Member] | Intellectual Property [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 3,139 3,139
Accumulated Amortization of Finite-Lived Intangible (3,139) (3,139)
Industrial [Member] | Process Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 87,549 87,257
Accumulated Amortization of Finite-Lived Intangible (36,728) (35,983)
Net Carrying Amount - Finite-Lived Intangible 50,821 51,274
Industrial [Member] | Other [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 594 592
Accumulated Amortization of Finite-Lived Intangible (594) (592)
Industrial [Member] | Trade Name [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets $ 67,927 $ 64,751