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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, 2021 | Sep. 30, 2020
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (376,002) | $ (399,081)
Net Carrying Amount - Finite-Lived Intangible | 492,044 |
Intangible Assets, Gross, Total | 935,291 | 1,005,792
Intangible Assets, Net, Total | 559,289 | 606,711
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 685,862 | 710,932
Accumulated Amortization of Finite-Lived Intangible | (266,895) | (253,565)
Net Carrying Amount - Finite-Lived Intangible | 418,967 | 457,367
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,806 | 15,778
Accumulated Amortization of Finite-Lived Intangible | (15,806) | (15,640)
Net Carrying Amount - Finite-Lived Intangible |  | 138
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 166,378 | 167,316
Accumulated Amortization of Finite-Lived Intangible | (93,301) | (86,256)
Net Carrying Amount - Finite-Lived Intangible | 73,077 | 81,060
Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible |  | 235
Accumulated Amortization of Finite-Lived Intangible |  | (183)
Net Carrying Amount - Finite-Lived Intangible |  | 52
Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 67,245 | 68,094
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (277,557) | (260,476)
Intangible Assets, Gross, Total | 358,053 | 358,054
Intangible Assets, Net, Total | 80,496 | 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 | (210,380) | (196,520)
Net Carrying Amount - Finite-Lived Intangible | 71,303 | 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 | (67,177) | (63,956)
Net Carrying Amount - Finite-Lived Intangible | 9,193 | 12,415
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (98,445) | (138,605)
Intangible Assets, Gross, Total | 577,238 | 647,738
Intangible Assets, Net, Total | 478,793 | 509,133
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 404,179 | 429,249
Accumulated Amortization of Finite-Lived Intangible | (56,515) | (57,045)
Net Carrying Amount - Finite-Lived Intangible | 347,664 | 372,204
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 15,806 | 15,778
Accumulated Amortization of Finite-Lived Intangible | (15,806) | (15,640)
Net Carrying Amount - Finite-Lived Intangible |  | 138
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 90,008 | 90,945
Accumulated Amortization of Finite-Lived Intangible | (26,124) | (22,300)
Net Carrying Amount - Finite-Lived Intangible | 63,884 | 68,645
Industrial [Member] | Other Intangible Assets [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible |  | 235
Accumulated Amortization of Finite-Lived Intangible |  | (183)
Net Carrying Amount - Finite-Lived Intangible |  | 52
Industrial [Member] | Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 67,245 | $ 68,094

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