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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands | Sep. 30, 2024 | Sep. 30, 2023
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (440,603) | $ (401,150)
Net Carrying Amount - Finite-Lived Intangible | 375,668 |
Intangible Assets, Gross, Total | 881,022 | 853,513
Intangible Assets, Net, Total | 440,419 | 452,363
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 680,713 | 660,487
Accumulated Amortization of Finite-Lived Intangible | (360,543) | (326,227)
Net Carrying Amount - Finite-Lived Intangible | 320,170 | 334,260
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 3,139 | 3,139
Accumulated Amortization of Finite-Lived Intangible | (3,139) | (3,139)
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 131,827 | 128,026
Accumulated Amortization of Finite-Lived Intangible | (76,329) | (71,260)
Net Carrying Amount - Finite-Lived Intangible | 55,498 | 56,766
Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 64,751 | 61,307
Intangible Assets, Net, Total | 64,751 | 61,307
Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 592 | 554
Accumulated Amortization of Finite-Lived Intangible | (592) | (524)
Net Carrying Amount - Finite-Lived Intangible |  | 30
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (286,498) | (275,694)
Intangible Assets, Gross, Total | 326,253 | 326,253
Intangible Assets, Net, Total | 39,755 | 50,559
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 | (246,152) | (236,143)
Net Carrying Amount - Finite-Lived Intangible | 35,531 | 45,540
Aerospace [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 44,570 | 44,570
Accumulated Amortization of Finite-Lived Intangible | (40,346) | (39,551)
Net Carrying Amount - Finite-Lived Intangible | 4,224 | 5,019
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (154,105) | (125,456)
Intangible Assets, Gross, Total | 554,769 | 527,260
Intangible Assets, Net, Total | 400,664 | 401,804
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 399,030 | 378,804
Accumulated Amortization of Finite-Lived Intangible | (114,391) | (90,084)
Net Carrying Amount - Finite-Lived Intangible | 284,639 | 288,720
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 3,139 | 3,139
Accumulated Amortization of Finite-Lived Intangible | (3,139) | (3,139)
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 87,257 | 83,456
Accumulated Amortization of Finite-Lived Intangible | (35,983) | (31,709)
Net Carrying Amount - Finite-Lived Intangible | 51,274 | 51,747
Industrial [Member] | Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 64,751 | 61,307
Intangible Assets, Net, Total | 64,751 | 61,307
Industrial [Member] | Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 592 | 554
Accumulated Amortization of Finite-Lived Intangible | $ (592) | (524)
Net Carrying Amount - Finite-Lived Intangible |  | $ 30

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