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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands | Dec. 31, 2021 | Sep. 30, 2021
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (381,052) | $ (376,002)
Net Carrying Amount - Finite-Lived Intangible | 473,091 |
Intangible Assets, Gross, Total | 919,834 | 935,291
Intangible Assets, Net, Total | 538,782 | 559,289
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 676,993 | 685,862
Accumulated Amortization of Finite-Lived Intangible | (274,072) | (266,895)
Net Carrying Amount - Finite-Lived Intangible | 402,921 | 418,967
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 12,485 | 15,806
Accumulated Amortization of Finite-Lived Intangible | (12,485) | (15,806)
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 164,665 | 166,378
Accumulated Amortization of Finite-Lived Intangible | (94,495) | (93,301)
Net Carrying Amount - Finite-Lived Intangible | 70,170 | 73,077
Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 65,691 | 67,245
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (281,428) | (277,557)
Intangible Assets, Gross, Total | 358,053 | 358,053
Intangible Assets, Net, Total | 76,625 | 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 | (213,676) | (210,380)
Net Carrying Amount - Finite-Lived Intangible | 68,007 | 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 | (67,752) | (67,177)
Net Carrying Amount - Finite-Lived Intangible | 8,618 | 9,193
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (99,624) | (98,445)
Intangible Assets, Gross, Total | 561,781 | 577,238
Intangible Assets, Net, Total | 462,157 | 478,793
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 395,310 | 404,179
Accumulated Amortization of Finite-Lived Intangible | (60,396) | (56,515)
Net Carrying Amount - Finite-Lived Intangible | 334,914 | 347,664
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 12,485 | 15,806
Accumulated Amortization of Finite-Lived Intangible | (12,485) | (15,806)
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 88,295 | 90,008
Accumulated Amortization of Finite-Lived Intangible | (26,743) | (26,124)
Net Carrying Amount - Finite-Lived Intangible | 61,552 | 63,884
Industrial [Member] | Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 65,691 | $ 67,245

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