Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (415,177)	$ (399,673)
Net Carrying Amount - Finite-Lived Intangible	423,563
Intangible Assets, Gross, Total	900,821	860,253
Intangible Assets, Net, Total	485,644	460,580
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	665,081	634,600
Accumulated Amortization of Finite-Lived Intangible	(303,281)	(290,377)
Net Carrying Amount - Finite-Lived Intangible	361,800	344,223
Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,413	12,361
Accumulated Amortization of Finite-Lived Intangible	(12,413)	(12,361)
Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	160,680	154,894
Accumulated Amortization of Finite-Lived Intangible	(99,372)	(96,935)
Net Carrying Amount - Finite-Lived Intangible	61,308	57,959
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	566	1,560
Accumulated Amortization of Finite-Lived Intangible	(111)
Net Carrying Amount - Finite-Lived Intangible	455	1,560
Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	62,081	56,838
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(296,654)	(293,036)
Intangible Assets, Gross, Total	358,053	358,053
Intangible Assets, Net, Total	61,399	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	(226,714)	(223,565)
Net Carrying Amount - Finite-Lived Intangible	54,969	58,118
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	(69,940)	(69,471)
Net Carrying Amount - Finite-Lived Intangible	6,430	6,899
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(118,523)	(106,637)
Intangible Assets, Gross, Total	542,768	502,200
Intangible Assets, Net, Total	424,245	395,563
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	383,398	352,917
Accumulated Amortization of Finite-Lived Intangible	(76,567)	(66,812)
Net Carrying Amount - Finite-Lived Intangible	306,831	286,105
Industrial [Member] | Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,413	12,361
Accumulated Amortization of Finite-Lived Intangible	(12,413)	(12,361)
Industrial [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	84,310	78,524
Accumulated Amortization of Finite-Lived Intangible	(29,432)	(27,464)
Net Carrying Amount - Finite-Lived Intangible	54,878	51,060
Industrial [Member] | Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	566	1,560
Accumulated Amortization of Finite-Lived Intangible	(111)
Net Carrying Amount - Finite-Lived Intangible	455	1,560
Industrial [Member] | Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	$ 62,081	$ 56,838