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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands | Mar. 31, 2022 | Sep. 30, 2021
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (389,712) | $ (376,002)
Net Carrying Amount - Finite-Lived Intangible | 457,784 |
Intangible Assets, Gross, Total | 912,214 | 935,291
Intangible Assets, Net, Total | 522,502 | 559,289
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 671,440 | 685,862
Accumulated Amortization of Finite-Lived Intangible | (281,484) | (266,895)
Net Carrying Amount - Finite-Lived Intangible | 389,956 | 418,967
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 12,466 | 15,806
Accumulated Amortization of Finite-Lived Intangible | (12,466) | (15,806)
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 163,590 | 166,378
Accumulated Amortization of Finite-Lived Intangible | (95,762) | (93,301)
Net Carrying Amount - Finite-Lived Intangible | 67,828 | 73,077
Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 64,718 | 67,245
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (285,297) | (277,557)
Intangible Assets, Gross, Total | 358,053 | 358,053
Intangible Assets, Net, Total | 72,756 | 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 | (216,973) | (210,380)
Net Carrying Amount - Finite-Lived Intangible | 64,710 | 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 | (68,324) | (67,177)
Net Carrying Amount - Finite-Lived Intangible | 8,046 | 9,193
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (104,415) | (98,445)
Intangible Assets, Gross, Total | 554,161 | 577,238
Intangible Assets, Net, Total | 449,746 | 478,793
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 389,757 | 404,179
Accumulated Amortization of Finite-Lived Intangible | (64,511) | (56,515)
Net Carrying Amount - Finite-Lived Intangible | 325,246 | 347,664
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 12,466 | 15,806
Accumulated Amortization of Finite-Lived Intangible | (12,466) | (15,806)
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 87,220 | 90,008
Accumulated Amortization of Finite-Lived Intangible | (27,438) | (26,124)
Net Carrying Amount - Finite-Lived Intangible | 59,782 | 63,884
Industrial [Member] | Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 64,718 | $ 67,245

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