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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, 2019 | Sep. 30, 2019
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Intangible Assets, Gross, Total | $ 979,433 | $ 983,266
Accumulated Amortization of Finite-Lived Intangible | (366,298) | (371,274)
Net Carrying Amount - Finite-Lived Intangible | 548,162 |
Intangible Assets, Net, Total | 613,135 | 611,992
Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 64,973 | 63,467
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 693,119 | 689,366
Accumulated Amortization of Finite-Lived Intangible | (229,245) | (225,981)
Net Carrying Amount - Finite-Lived Intangible | 463,874 | 463,385
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,790 | 19,201
Accumulated Amortization of Finite-Lived Intangible | (15,513) | (18,705)
Net Carrying Amount - Finite-Lived Intangible | 277 | 496
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 163,871 | 169,191
Accumulated Amortization of Finite-Lived Intangible | (79,966) | (84,839)
Net Carrying Amount - Finite-Lived Intangible | 83,905 | 84,352
Backlog [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 41,456 | 40,500
Accumulated Amortization of Finite-Lived Intangible | (41,456) | (40,500)
Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 224 | 1,541
Accumulated Amortization of Finite-Lived Intangible | (118) | (1,249)
Net Carrying Amount - Finite-Lived Intangible | 106 | 292
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Intangible Assets, Gross, Total | 358,054 | 358,054
Accumulated Amortization of Finite-Lived Intangible | (246,550) | (241,908)
Intangible Assets, Net, Total | 111,504 | 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 | (185,626) | (181,995)
Net Carrying Amount - Finite-Lived Intangible | 96,057 | 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 | (60,924) | (59,913)
Net Carrying Amount - Finite-Lived Intangible | 15,447 | 16,458
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Intangible Assets, Gross, Total | 621,379 | 625,212
Accumulated Amortization of Finite-Lived Intangible | (119,748) | (129,366)
Intangible Assets, Net, Total | 501,631 | 495,846
Industrial [Member] | Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 64,973 | 63,467
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 411,436 | 407,683
Accumulated Amortization of Finite-Lived Intangible | (43,619) | (43,986)
Net Carrying Amount - Finite-Lived Intangible | 367,817 | 363,697
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,790 | 19,201
Accumulated Amortization of Finite-Lived Intangible | (15,513) | (18,705)
Net Carrying Amount - Finite-Lived Intangible | 277 | 496
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 87,500 | 92,820
Accumulated Amortization of Finite-Lived Intangible | (19,042) | (24,926)
Net Carrying Amount - Finite-Lived Intangible | 68,458 | 67,894
Industrial [Member] | Backlog [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 41,456 | 40,500
Accumulated Amortization of Finite-Lived Intangible | (41,456) | (40,500)
Net Carrying Amount - Finite-Lived Intangible | 0 | 0
Industrial [Member] | Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 224 | 1,541
Accumulated Amortization of Finite-Lived Intangible | (118) | (1,249)
Net Carrying Amount - Finite-Lived Intangible | $ 106 | $ 292

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