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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands | Jun. 30, 2024 | Sep. 30, 2023
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (427,591) | $ (401,150)
Net Carrying Amount - Finite-Lived Intangible | 370,232 |
Intangible Assets, Gross, Total | 859,943 | 853,513
Intangible Assets, Net, Total | 432,352 | 452,363
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 665,201 | 660,487
Accumulated Amortization of Finite-Lived Intangible | (349,365) | (326,227)
Net Carrying Amount - Finite-Lived Intangible | 315,836 | 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 | 128,924 | 128,026
Accumulated Amortization of Finite-Lived Intangible | (74,528) | (71,260)
Net Carrying Amount - Finite-Lived Intangible | 54,396 | 56,766
Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 559 | 554
Accumulated Amortization of Finite-Lived Intangible | (559) | (524)
Net Carrying Amount - Finite-Lived Intangible |  | 30
Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 62,120 | 61,307
Intangible Assets, Net, Total | 62,120 |
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (284,018) | (275,694)
Intangible Assets, Gross, Total | 326,253 | 326,253
Intangible Assets, Net, Total | 42,235 | 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 | (243,833) | (236,143)
Net Carrying Amount - Finite-Lived Intangible | 37,850 | 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 | (40,185) | (39,551)
Net Carrying Amount - Finite-Lived Intangible | 4,385 | 5,019
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (143,573) | (125,456)
Intangible Assets, Gross, Total | 533,690 | 527,260
Intangible Assets, Net, Total | 390,117 | 401,804
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 383,518 | 378,804
Accumulated Amortization of Finite-Lived Intangible | (105,532) | (90,084)
Net Carrying Amount - Finite-Lived Intangible | 277,986 | 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 | 84,354 | 83,456
Accumulated Amortization of Finite-Lived Intangible | (34,343) | (31,709)
Net Carrying Amount - Finite-Lived Intangible | 50,011 | 51,747
Industrial [Member] | Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 559 | 554
Accumulated Amortization of Finite-Lived Intangible | (559) | (524)
Net Carrying Amount - Finite-Lived Intangible |  | 30
Industrial [Member] | Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 62,120 | $ 61,307
Intangible Assets, Net, Total | $ 62,120 |

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