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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($)
$ in Thousands
Sep. 30, 2025
Sep. 30, 2024
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible $ (458,740) $ (440,603)
Net Carrying Amount - Finite-Lived Intangible 360,070  
Intangible Assets, Gross, Total 886,820 881,022
Intangible Assets, Net, Total 428,080 440,419
Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 683,461 680,713
Accumulated Amortization of Finite-Lived Intangible (377,018) (360,543)
Net Carrying Amount - Finite-Lived Intangible 306,443 320,170
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 132,210 131,827
Accumulated Amortization of Finite-Lived Intangible (78,583) (76,329)
Net Carrying Amount - Finite-Lived Intangible 53,627 55,498
Trade Name [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets 68,010 64,751
Intangible Assets, Net, Total 68,010 64,751
Other [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible   592
Accumulated Amortization of Finite-Lived Intangible   (592)
Aerospace [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (292,082) (286,498)
Intangible Assets, Gross, Total 326,253 326,253
Intangible Assets, Net, Total 34,171 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 (251,109) (246,152)
Net Carrying Amount - Finite-Lived Intangible 30,574 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 (40,973) (40,346)
Net Carrying Amount - Finite-Lived Intangible 3,597 4,224
Industrial [Member]    
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization of Finite-Lived Intangible (166,658) (154,105)
Intangible Assets, Gross, Total 560,567 554,769
Intangible Assets, Net, Total 393,909 400,664
Industrial [Member] | Customer Relationships And Contracts [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible 401,778 399,030
Accumulated Amortization of Finite-Lived Intangible (125,909) (114,391)
Net Carrying Amount - Finite-Lived Intangible 275,869 284,639
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 87,640 87,257
Accumulated Amortization of Finite-Lived Intangible (37,610) (35,983)
Net Carrying Amount - Finite-Lived Intangible 50,030 51,274
Industrial [Member] | Trade Name [Member]    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-Lived Intangible Assets 68,010 64,751
Intangible Assets, Net, Total $ 68,010 64,751
Industrial [Member] | Other [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value - Finite-Lived Intangible   592
Accumulated Amortization of Finite-Lived Intangible   $ (592)