Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Sep. 30, 2024	Sep. 30, 2023
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (440,603)	$ (401,150)
Net Carrying Amount - Finite-Lived Intangible	375,668
Intangible Assets, Gross, Total	881,022	853,513
Intangible Assets, Net, Total	440,419	452,363
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	680,713	660,487
Accumulated Amortization of Finite-Lived Intangible	(360,543)	(326,227)
Net Carrying Amount - Finite-Lived Intangible	320,170	334,260
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	131,827	128,026
Accumulated Amortization of Finite-Lived Intangible	(76,329)	(71,260)
Net Carrying Amount - Finite-Lived Intangible	55,498	56,766
Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	64,751	61,307
Intangible Assets, Net, Total	64,751	61,307
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	592	554
Accumulated Amortization of Finite-Lived Intangible	(592)	(524)
Net Carrying Amount - Finite-Lived Intangible		30
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(286,498)	(275,694)
Intangible Assets, Gross, Total	326,253	326,253
Intangible Assets, Net, Total	39,755	50,559
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	(246,152)	(236,143)
Net Carrying Amount - Finite-Lived Intangible	35,531	45,540
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	(40,346)	(39,551)
Net Carrying Amount - Finite-Lived Intangible	4,224	5,019
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(154,105)	(125,456)
Intangible Assets, Gross, Total	554,769	527,260
Intangible Assets, Net, Total	400,664	401,804
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	399,030	378,804
Accumulated Amortization of Finite-Lived Intangible	(114,391)	(90,084)
Net Carrying Amount - Finite-Lived Intangible	284,639	288,720
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	87,257	83,456
Accumulated Amortization of Finite-Lived Intangible	(35,983)	(31,709)
Net Carrying Amount - Finite-Lived Intangible	51,274	51,747
Industrial [Member] | Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	64,751	61,307
Intangible Assets, Net, Total	64,751	61,307
Industrial [Member] | Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	592	554
Accumulated Amortization of Finite-Lived Intangible	$ (592)	(524)
Net Carrying Amount - Finite-Lived Intangible		$ 30