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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, 2020 | Sep. 30, 2020
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (367,884) | $ (399,081)
Net Carrying Amount - Finite-Lived Intangible | 548,400 |
Intangible Assets, Gross, Total | 987,605 | 1,005,792
Intangible Assets, Net, Total | 619,721 | 606,711
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 729,347 | 710,932
Accumulated Amortization of Finite-Lived Intangible | (263,477) | (253,565)
Net Carrying Amount - Finite-Lived Intangible | 465,870 | 457,367
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,816 | 15,778
Accumulated Amortization of Finite-Lived Intangible | (15,724) | (15,640)
Net Carrying Amount - Finite-Lived Intangible | 92 | 138
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 170,876 | 167,316
Accumulated Amortization of Finite-Lived Intangible | (88,471) | (86,256)
Net Carrying Amount - Finite-Lived Intangible | 82,405 | 81,060
Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 245 | 235
Accumulated Amortization of Finite-Lived Intangible | (212) | (183)
Net Carrying Amount - Finite-Lived Intangible | 33 | 52
Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 71,321 | 68,094
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (264,745) | (260,476)
Intangible Assets, Gross, Total | 358,053 | 358,054
Intangible Assets, Net, Total | 93,308 | 97,578
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 | (199,985) | (196,520)
Net Carrying Amount - Finite-Lived Intangible | 81,698 | 85,163
Aerospace [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 76,370 | 76,371
Accumulated Amortization of Finite-Lived Intangible | (64,760) | (63,956)
Net Carrying Amount - Finite-Lived Intangible | 11,610 | 12,415
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (103,139) | (138,605)
Intangible Assets, Gross, Total | 629,552 | 647,738
Intangible Assets, Net, Total | 526,413 | 509,133
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 447,664 | 429,249
Accumulated Amortization of Finite-Lived Intangible | (63,492) | (57,045)
Net Carrying Amount - Finite-Lived Intangible | 384,172 | 372,204
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,816 | 15,778
Accumulated Amortization of Finite-Lived Intangible | (15,724) | (15,640)
Net Carrying Amount - Finite-Lived Intangible | 92 | 138
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 94,506 | 90,945
Accumulated Amortization of Finite-Lived Intangible | (23,711) | (22,300)
Net Carrying Amount - Finite-Lived Intangible | 70,795 | 68,645
Industrial [Member] | Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 245 | 235
Accumulated Amortization of Finite-Lived Intangible | (212) | (183)
Net Carrying Amount - Finite-Lived Intangible | 33 | 52
Industrial [Member] | Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 71,321 | $ 68,094

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