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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($) $ in Thousands | Jun. 30, 2023 | Sep. 30, 2022
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | $ (434,696) | $ (399,673)
Net Carrying Amount - Finite-Lived Intangible | 409,853 |
Intangible Assets, Gross, Total | 907,590 | 860,253
Intangible Assets, Net, Total | 472,894 | 460,580
Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 670,454 | 634,600
Accumulated Amortization of Finite-Lived Intangible | (320,295) | (290,377)
Net Carrying Amount - Finite-Lived Intangible | 350,159 | 344,223
Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 11,794 | 12,361
Accumulated Amortization of Finite-Lived Intangible | (11,794) | (12,361)
Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 161,740 | 154,894
Accumulated Amortization of Finite-Lived Intangible | (102,215) | (96,935)
Net Carrying Amount - Finite-Lived Intangible | 59,525 | 57,959
Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 561 | 1,560
Accumulated Amortization of Finite-Lived Intangible | (392) |
Net Carrying Amount - Finite-Lived Intangible | 169 | 1,560
Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | 63,041 | 56,838
Aerospace [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (303,882) | (293,036)
Intangible Assets, Gross, Total | 358,053 | 358,053
Intangible Assets, Net, Total | 54,171 | 65,017
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 | (233,002) | (223,565)
Net Carrying Amount - Finite-Lived Intangible | 48,681 | 58,118
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 | (70,880) | (69,471)
Net Carrying Amount - Finite-Lived Intangible | 5,490 | 6,899
Industrial [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated Amortization of Finite-Lived Intangible | (130,814) | (106,637)
Intangible Assets, Gross, Total | 549,537 | 502,200
Intangible Assets, Net, Total | 418,723 | 395,563
Industrial [Member] | Customer Relationships And Contracts [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 388,771 | 352,917
Accumulated Amortization of Finite-Lived Intangible | (87,293) | (66,812)
Net Carrying Amount - Finite-Lived Intangible | 301,478 | 286,105
Industrial [Member] | Intellectual Property [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 11,794 | 12,361
Accumulated Amortization of Finite-Lived Intangible | (11,794) | (12,361)
Industrial [Member] | Process Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 85,370 | 78,524
Accumulated Amortization of Finite-Lived Intangible | (31,335) | (27,464)
Net Carrying Amount - Finite-Lived Intangible | 54,035 | 51,060
Industrial [Member] | Other [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value - Finite-Lived Intangible | 561 | 1,560
Accumulated Amortization of Finite-Lived Intangible | (392) |
Net Carrying Amount - Finite-Lived Intangible | 169 | 1,560
Industrial [Member] | Trade Name [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-Lived Intangible Assets | $ 63,041 | $ 56,838

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