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Intangible Assets, Net (Schedule of Finite-Lived and Indefinite-Lived Intangible Assets by Major Class) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Finite-Lived Intangible Assets [Line Items]      
Intangible Assets, Gross (Excluding Goodwill), Total $ 1,016,456 $ 443,476  
Accumulated Amortization of Finite-Lived Intangible (315,573) (271,594)  
Net Carrying Amount - Finite-Lived Intangible 633,548    
Intangible Assets, Net (Excluding Goodwill), Total 700,883 171,882  
Amortization expense 44,742 25,777 $ 27,486
Trade Names [Member]      
Finite-Lived Intangible Assets [Line Items]      
Indefinite-Lived Intangible Assets 67,335    
Process Technology [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 173,526 99,555  
Accumulated Amortization of Finite-Lived Intangible (75,247) (66,880)  
Net Carrying Amount - Finite-Lived Intangible 98,279 32,675  
Customer Relationships [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 711,563 323,187  
Accumulated Amortization of Finite-Lived Intangible (202,575) (185,562)  
Net Carrying Amount - Finite-Lived Intangible 508,988 137,625  
Intellectual Property [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 19,448 19,422  
Accumulated Amortization of Finite-Lived Intangible (18,587) (18,196)  
Net Carrying Amount - Finite-Lived Intangible 861 1,226  
Backlog [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 42,955 0  
Accumulated Amortization of Finite-Lived Intangible (18,006) 0  
Net Carrying Amount - Finite-Lived Intangible 24,949 0  
Other Intangibles [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 1,629 1,312  
Accumulated Amortization of Finite-Lived Intangible (1,158) (956)  
Net Carrying Amount - Finite-Lived Intangible 471 356  
Aerospace [Member]      
Finite-Lived Intangible Assets [Line Items]      
Intangible Assets, Gross (Excluding Goodwill), Total 358,055 358,830  
Accumulated Amortization of Finite-Lived Intangible (221,593) (200,279)  
Intangible Assets, Net (Excluding Goodwill), Total 136,462 158,551  
Aerospace [Member] | Process Technology [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 76,372 76,605  
Accumulated Amortization of Finite-Lived Intangible (54,874) (49,124)  
Net Carrying Amount - Finite-Lived Intangible 21,498 27,481  
Aerospace [Member] | Customer Relationships [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 281,683 282,225  
Accumulated Amortization of Finite-Lived Intangible (166,719) (151,155)  
Net Carrying Amount - Finite-Lived Intangible 114,964 131,070  
Aerospace [Member] | Intellectual Property [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 0 0  
Accumulated Amortization of Finite-Lived Intangible 0 0  
Net Carrying Amount - Finite-Lived Intangible 0 0  
Aerospace [Member] | Backlog [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 0 0  
Accumulated Amortization of Finite-Lived Intangible 0 0  
Net Carrying Amount - Finite-Lived Intangible 0 0  
Aerospace [Member] | Other Intangibles [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 0 0  
Accumulated Amortization of Finite-Lived Intangible 0 0  
Net Carrying Amount - Finite-Lived Intangible 0 0  
Industrial [Member]      
Finite-Lived Intangible Assets [Line Items]      
Intangible Assets, Gross (Excluding Goodwill), Total 658,401 84,646  
Accumulated Amortization of Finite-Lived Intangible (93,980) (71,315)  
Intangible Assets, Net (Excluding Goodwill), Total 564,421 13,331  
Industrial [Member] | Trade Names [Member]      
Finite-Lived Intangible Assets [Line Items]      
Indefinite-Lived Intangible Assets 67,335    
Industrial [Member] | Process Technology [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 97,154 22,950  
Accumulated Amortization of Finite-Lived Intangible (20,373) (17,756)  
Net Carrying Amount - Finite-Lived Intangible 76,781 5,194  
Industrial [Member] | Customer Relationships [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 429,880 40,962  
Accumulated Amortization of Finite-Lived Intangible (35,856) (34,407)  
Net Carrying Amount - Finite-Lived Intangible 394,024 6,555  
Industrial [Member] | Intellectual Property [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 19,448 19,422  
Accumulated Amortization of Finite-Lived Intangible (18,587) (18,196)  
Net Carrying Amount - Finite-Lived Intangible 861 1,226  
Industrial [Member] | Backlog [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 42,955 0  
Accumulated Amortization of Finite-Lived Intangible (18,006) 0  
Net Carrying Amount - Finite-Lived Intangible 24,949 0  
Industrial [Member] | Other Intangibles [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gross Carrying Value - Finite-Lived Intangible 1,629 1,312  
Accumulated Amortization of Finite-Lived Intangible (1,158) (956)  
Net Carrying Amount - Finite-Lived Intangible $ 471 $ 356