Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Dec. 31, 2021	Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (381,052)	$ (376,002)
Net Carrying Amount - Finite-Lived Intangible	473,091
Intangible Assets, Gross, Total	919,834	935,291
Intangible Assets, Net, Total	538,782	559,289
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	676,993	685,862
Accumulated Amortization of Finite-Lived Intangible	(274,072)	(266,895)
Net Carrying Amount - Finite-Lived Intangible	402,921	418,967
Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,485	15,806
Accumulated Amortization of Finite-Lived Intangible	(12,485)	(15,806)
Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	164,665	166,378
Accumulated Amortization of Finite-Lived Intangible	(94,495)	(93,301)
Net Carrying Amount - Finite-Lived Intangible	70,170	73,077
Tradenames [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	65,691	67,245
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(281,428)	(277,557)
Intangible Assets, Gross, Total	358,053	358,053
Intangible Assets, Net, Total	76,625	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	(213,676)	(210,380)
Net Carrying Amount - Finite-Lived Intangible	68,007	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	(67,752)	(67,177)
Net Carrying Amount - Finite-Lived Intangible	8,618	9,193
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(99,624)	(98,445)
Intangible Assets, Gross, Total	561,781	577,238
Intangible Assets, Net, Total	462,157	478,793
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	395,310	404,179
Accumulated Amortization of Finite-Lived Intangible	(60,396)	(56,515)
Net Carrying Amount - Finite-Lived Intangible	334,914	347,664
Industrial [Member] | Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,485	15,806
Accumulated Amortization of Finite-Lived Intangible	(12,485)	(15,806)
Industrial [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	88,295	90,008
Accumulated Amortization of Finite-Lived Intangible	(26,743)	(26,124)
Net Carrying Amount - Finite-Lived Intangible	61,552	63,884
Industrial [Member] | Tradenames [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	$ 65,691	$ 67,245