Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Mar. 31, 2023	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (426,133)	$ (399,673)
Net Carrying Amount - Finite-Lived Intangible	420,638
Intangible Assets, Gross, Total	910,017	860,253
Intangible Assets, Net, Total	483,884	460,580
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	671,806	634,600
Accumulated Amortization of Finite-Lived Intangible	(312,497)	(290,377)
Net Carrying Amount - Finite-Lived Intangible	359,309	344,223
Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,428	12,361
Accumulated Amortization of Finite-Lived Intangible	(12,428)	(12,361)
Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	161,966	154,894
Accumulated Amortization of Finite-Lived Intangible	(100,953)	(96,935)
Net Carrying Amount - Finite-Lived Intangible	61,013	57,959
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	571	1,560
Accumulated Amortization of Finite-Lived Intangible	(255)
Net Carrying Amount - Finite-Lived Intangible	316	1,560
Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	63,246	56,838
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(300,268)	(293,036)
Intangible Assets, Gross, Total	358,053	358,053
Intangible Assets, Net, Total	57,785	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	(229,858)	(223,565)
Net Carrying Amount - Finite-Lived Intangible	51,825	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	(70,410)	(69,471)
Net Carrying Amount - Finite-Lived Intangible	5,960	6,899
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(125,865)	(106,637)
Intangible Assets, Gross, Total	551,964	502,200
Intangible Assets, Net, Total	426,099	395,563
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	390,123	352,917
Accumulated Amortization of Finite-Lived Intangible	(82,639)	(66,812)
Net Carrying Amount - Finite-Lived Intangible	307,484	286,105
Industrial [Member] | Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	12,428	12,361
Accumulated Amortization of Finite-Lived Intangible	(12,428)	(12,361)
Industrial [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	85,596	78,524
Accumulated Amortization of Finite-Lived Intangible	(30,543)	(27,464)
Net Carrying Amount - Finite-Lived Intangible	55,053	51,060
Industrial [Member] | Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	571	1,560
Accumulated Amortization of Finite-Lived Intangible	(255)
Net Carrying Amount - Finite-Lived Intangible	316	1,560
Industrial [Member] | Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	$ 63,246	$ 56,838