Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (399,673)	$ (376,002)
Net Carrying Amount - Finite-Lived Intangible	403,742
Intangible Assets, Gross, Total	860,253	935,291
Intangible Assets, Net, Total	460,580	559,289
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	634,600	685,862
Accumulated Amortization of Finite-Lived Intangible	(290,377)	(266,895)
Net Carrying Amount - Finite-Lived Intangible	344,223	418,967
Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,361	15,806
Accumulated Amortization of Finite-Lived Intangible	(12,361)	(15,806)
Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	154,894	166,378
Accumulated Amortization of Finite-Lived Intangible	(96,935)	(93,301)
Net Carrying Amount - Finite-Lived Intangible	57,959	73,077
Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
September 30, 2022	56,838	67,245
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	1,560
Net Carrying Amount - Finite-Lived Intangible	1,560
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(293,036)	(277,557)
Intangible Assets, Gross, Total	358,053	358,053
Intangible Assets, Net, Total	65,017	80,496
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	(223,565)	(210,380)
Net Carrying Amount - Finite-Lived Intangible	58,118	71,303
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	(69,471)	(67,177)
Net Carrying Amount - Finite-Lived Intangible	6,899	9,193
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(106,637)	(98,445)
Intangible Assets, Gross, Total	502,200	577,238
Intangible Assets, Net, Total	395,563	478,793
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	352,917	404,179
Accumulated Amortization of Finite-Lived Intangible	(66,812)	(56,515)
Net Carrying Amount - Finite-Lived Intangible	286,105	347,664
Industrial [Member] | Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,361	15,806
Accumulated Amortization of Finite-Lived Intangible	(12,361)	(15,806)
Industrial [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	78,524	90,008
Accumulated Amortization of Finite-Lived Intangible	(27,464)	(26,124)
Net Carrying Amount - Finite-Lived Intangible	51,060	63,884
Industrial [Member] | Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
September 30, 2022	56,838	$ 67,245
Industrial [Member] | Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	1,560
Net Carrying Amount - Finite-Lived Intangible	$ 1,560