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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands | Sep. 30, 2020 | Sep. 30, 2019
--- | --- | ---
Finite Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (399,081) | $ (371,274)
Net Carrying Amount - Finite-Lived Intangible | 538,617 |
Intangible Assets, Gross, Total | 1,005,792 | 983,266
Intangible Assets, Net, Total | 606,711 | 611,992
Customer Relationships And Contracts [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 710,932 | 689,366
Accumulated Amortization of Finite-Lived Intangible | (253,565) | (225,981)
Net Carrying Amount - Finite-Lived Intangible | 457,367 | 463,385
Intellectual Property [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,778 | 19,201
Accumulated Amortization of Finite-Lived Intangible | (15,640) | (18,705)
Net Carrying Amount - Finite-Lived Intangible | 138 | 496
Process Technology [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 167,316 | 169,191
Accumulated Amortization of Finite-Lived Intangible | (86,256) | (84,839)
Net Carrying Amount - Finite-Lived Intangible | 81,060 | 84,352
Other Intangible Assets [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 235 | 1,541
Accumulated Amortization of Finite-Lived Intangible | (183) | (1,249)
Net Carrying Amount - Finite-Lived Intangible | 52 | 292
Trade Name [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 68,094 | 63,467
Aerospace [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (260,476) | (241,908)
Intangible Assets, Gross, Total | 358,054 | 358,054
Intangible Assets, Net, Total | 97,578 | 116,146
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 | (196,520) | (181,995)
Net Carrying Amount - Finite-Lived Intangible | 85,163 | 99,688
Aerospace [Member] | Process Technology [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 76,371 | 76,371
Accumulated Amortization of Finite-Lived Intangible | (63,956) | (59,913)
Net Carrying Amount - Finite-Lived Intangible | 12,415 | 16,458
Industrial [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (138,605) | (129,366)
Intangible Assets, Gross, Total | 647,738 | 625,212
Intangible Assets, Net, Total | 509,133 | 495,846
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 429,249 | 407,683
Accumulated Amortization of Finite-Lived Intangible | (57,045) | (43,986)
Net Carrying Amount - Finite-Lived Intangible | 372,204 | 363,697
Industrial [Member] | Intellectual Property [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,778 | 19,201
Accumulated Amortization of Finite-Lived Intangible | (15,640) | (18,705)
Net Carrying Amount - Finite-Lived Intangible | 138 | 496
Industrial [Member] | Process Technology [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 90,945 | 92,820
Accumulated Amortization of Finite-Lived Intangible | (22,300) | (24,926)
Net Carrying Amount - Finite-Lived Intangible | 68,645 | 67,894
Industrial [Member] | Other Intangible Assets [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 235 | 1,541
Accumulated Amortization of Finite-Lived Intangible | (183) | (1,249)
Net Carrying Amount - Finite-Lived Intangible | 52 | 292
Industrial [Member] | Trade Name [Member] |  |
Finite Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 68,094 | $ 63,467

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