Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands	Jun. 30, 2023	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	$ (434,696)	$ (399,673)
Net Carrying Amount - Finite-Lived Intangible	409,853
Intangible Assets, Gross, Total	907,590	860,253
Intangible Assets, Net, Total	472,894	460,580
Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	670,454	634,600
Accumulated Amortization of Finite-Lived Intangible	(320,295)	(290,377)
Net Carrying Amount - Finite-Lived Intangible	350,159	344,223
Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	11,794	12,361
Accumulated Amortization of Finite-Lived Intangible	(11,794)	(12,361)
Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	161,740	154,894
Accumulated Amortization of Finite-Lived Intangible	(102,215)	(96,935)
Net Carrying Amount - Finite-Lived Intangible	59,525	57,959
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	561	1,560
Accumulated Amortization of Finite-Lived Intangible	(392)
Net Carrying Amount - Finite-Lived Intangible	169	1,560
Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	63,041	56,838
Aerospace [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(303,882)	(293,036)
Intangible Assets, Gross, Total	358,053	358,053
Intangible Assets, Net, Total	54,171	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	(233,002)	(223,565)
Net Carrying Amount - Finite-Lived Intangible	48,681	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	(70,880)	(69,471)
Net Carrying Amount - Finite-Lived Intangible	5,490	6,899
Industrial [Member]
Finite-Lived Intangible Assets [Line Items]
Accumulated Amortization of Finite-Lived Intangible	(130,814)	(106,637)
Intangible Assets, Gross, Total	549,537	502,200
Intangible Assets, Net, Total	418,723	395,563
Industrial [Member] | Customer Relationships And Contracts [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	388,771	352,917
Accumulated Amortization of Finite-Lived Intangible	(87,293)	(66,812)
Net Carrying Amount - Finite-Lived Intangible	301,478	286,105
Industrial [Member] | Intellectual Property [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	11,794	12,361
Accumulated Amortization of Finite-Lived Intangible	(11,794)	(12,361)
Industrial [Member] | Process Technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	85,370	78,524
Accumulated Amortization of Finite-Lived Intangible	(31,335)	(27,464)
Net Carrying Amount - Finite-Lived Intangible	54,035	51,060
Industrial [Member] | Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value - Finite-Lived Intangible	561	1,560
Accumulated Amortization of Finite-Lived Intangible	(392)
Net Carrying Amount - Finite-Lived Intangible	169	1,560
Industrial [Member] | Trade Name [Member]
Finite-Lived Intangible Assets [Line Items]
Indefinite-Lived Intangible Assets	$ 63,041	$ 56,838