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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, 2022 | Sep. 30, 2021
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (399,673) | $ (376,002)
Net Carrying Amount - Finite-Lived Intangible | 403,742 |
Intangible Assets, Gross, Total | 860,253 | 935,291
Intangible Assets, Net, Total | 460,580 | 559,289
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 634,600 | 685,862
Accumulated Amortization of Finite-Lived Intangible | (290,377) | (266,895)
Net Carrying Amount - Finite-Lived Intangible | 344,223 | 418,967
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 12,361 | 15,806
Accumulated Amortization of Finite-Lived Intangible | (12,361) | (15,806)
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 154,894 | 166,378
Accumulated Amortization of Finite-Lived Intangible | (96,935) | (93,301)
Net Carrying Amount - Finite-Lived Intangible | 57,959 | 73,077
Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
September 30, 2022 | 56,838 | 67,245
Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 1,560 |
Net Carrying Amount - Finite-Lived Intangible | 1,560 |
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (293,036) | (277,557)
Intangible Assets, Gross, Total | 358,053 | 358,053
Intangible Assets, Net, Total | 65,017 | 80,496
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 | (223,565) | (210,380)
Net Carrying Amount - Finite-Lived Intangible | 58,118 | 71,303
Aerospace [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 76,370 | 76,370
Accumulated Amortization of Finite-Lived Intangible | (69,471) | (67,177)
Net Carrying Amount - Finite-Lived Intangible | 6,899 | 9,193
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (106,637) | (98,445)
Intangible Assets, Gross, Total | 502,200 | 577,238
Intangible Assets, Net, Total | 395,563 | 478,793
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 352,917 | 404,179
Accumulated Amortization of Finite-Lived Intangible | (66,812) | (56,515)
Net Carrying Amount - Finite-Lived Intangible | 286,105 | 347,664
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 12,361 | 15,806
Accumulated Amortization of Finite-Lived Intangible | (12,361) | (15,806)
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 78,524 | 90,008
Accumulated Amortization of Finite-Lived Intangible | (27,464) | (26,124)
Net Carrying Amount - Finite-Lived Intangible | 51,060 | 63,884
Industrial [Member] | Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
September 30, 2022 | 56,838 | $ 67,245
Industrial [Member] | Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 1,560 |
Net Carrying Amount - Finite-Lived Intangible | $ 1,560 |

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