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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, 2021 | Sep. 30, 2020
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (356,165) | $ (399,081)
Net Carrying Amount - Finite-Lived Intangible |  | 516,990
Intangible Assets, Gross, Total | 941,113 | 1,005,792
Intangible Assets, Net, Total | 584,948 | 606,711
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 689,935 | 710,932
Accumulated Amortization of Finite-Lived Intangible | (250,338) | (253,565)
Net Carrying Amount - Finite-Lived Intangible | 439,597 | 457,367
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,821 | 15,778
Accumulated Amortization of Finite-Lived Intangible | (15,775) | (15,640)
Net Carrying Amount - Finite-Lived Intangible | 46 | 138
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 167,166 | 167,316
Accumulated Amortization of Finite-Lived Intangible | (89,831) | (86,256)
Net Carrying Amount - Finite-Lived Intangible | 77,335 | 81,060
Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 233 | 235
Accumulated Amortization of Finite-Lived Intangible | (221) | (183)
Net Carrying Amount - Finite-Lived Intangible | 12 | 52
Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 67,958 | 68,094
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (269,016) | (260,476)
Intangible Assets, Gross, Total | 358,053 | 358,054
Intangible Assets, Net, Total | 89,037 | 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 | (203,451) | (196,520)
Net Carrying Amount - Finite-Lived Intangible | 78,232 | 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 | (65,565) | (63,956)
Net Carrying Amount - Finite-Lived Intangible | 10,805 | 12,415
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (87,149) | (138,605)
Intangible Assets, Gross, Total | 583,060 | 647,738
Intangible Assets, Net, Total | 495,911 | 509,133
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 408,252 | 429,249
Accumulated Amortization of Finite-Lived Intangible | (46,887) | (57,045)
Net Carrying Amount - Finite-Lived Intangible | 361,365 | 372,204
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,821 | 15,778
Accumulated Amortization of Finite-Lived Intangible | (15,775) | (15,640)
Net Carrying Amount - Finite-Lived Intangible | 46 | 138
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 90,796 | 90,945
Accumulated Amortization of Finite-Lived Intangible | (24,266) | (22,300)
Net Carrying Amount - Finite-Lived Intangible | 66,530 | 68,645
Industrial [Member] | Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 233 | 235
Accumulated Amortization of Finite-Lived Intangible | (221) | (183)
Net Carrying Amount - Finite-Lived Intangible | 12 | 52
Industrial [Member] | Tradenames [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 67,958 | $ 68,094

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