Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Sep. 30, 2023	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (401,150)	$ (399,673)
Net Carrying Amount - Finite-Lived Intangible	391,056
Intangible Assets, Gross, Total	853,513	860,253
Intangible Assets, Net, Total	452,363	460,580
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	660,487	634,600
Accumulated Amortization of Finite-Lived Intangible	(326,227)	(290,377)
Net Carrying Amount - Finite-Lived Intangible	334,260	344,223
Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	3,139	12,361
Accumulated Amortization of Finite-Lived Intangible	(3,139)	12,361
Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	128,026	154,894
Accumulated Amortization of Finite-Lived Intangible	(71,260)	(96,935)
Net Carrying Amount - Finite-Lived Intangible	56,766	57,959
Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
September 30, 2022	61,307	56,838
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	554	1,560
Accumulated Amortization of Finite-Lived Intangible	(524)
Net Carrying Amount - Finite-Lived Intangible	30	1,560
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(275,694)	(293,036)
Intangible Assets, Gross, Total	326,253	358,053
Intangible Assets, Net, Total	50,559	65,017
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	(236,143)	(223,565)
Net Carrying Amount - Finite-Lived Intangible	45,540	58,118
Aerospace [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	44,570	76,370
Accumulated Amortization of Finite-Lived Intangible	(39,551)	(69,471)
Net Carrying Amount - Finite-Lived Intangible	5,019	6,899
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(125,456)	(106,637)
Intangible Assets, Gross, Total	527,260	502,200
Intangible Assets, Net, Total	401,804	395,563
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	378,804	352,917
Accumulated Amortization of Finite-Lived Intangible	(90,084)	(66,812)
Net Carrying Amount - Finite-Lived Intangible	288,720	286,105
Industrial [Member] | Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	3,139	12,361
Accumulated Amortization of Finite-Lived Intangible	(3,139)	(12,361)
Industrial [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	83,456	78,524
Accumulated Amortization of Finite-Lived Intangible	(31,709)	(27,464)
Net Carrying Amount - Finite-Lived Intangible	51,747	51,060
Industrial [Member] | Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
September 30, 2022	61,307	56,838
Industrial [Member] | Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	554	1,560
Accumulated Amortization of Finite-Lived Intangible	(524)
Net Carrying Amount - Finite-Lived Intangible	$ 30	$ 1,560