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Goodwill and Other Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Dec. 31, 2018
Sep. 30, 2018
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangibles, Accumulated Amortization $ (729,328) $ (684,743)
Intangible Assets    
Gross Carrying Amount 3,654,026 3,632,571
Net Carrying Amount 2,924,698 2,947,828
Trade names    
Indefinite-lived intangibles    
Indefinite-lived intangibles $ 685,260 685,380
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Remaining Useful Life (in years) 14 years  
Finite-lived intangibles, Gross Carrying Amount $ 2,550,198 2,549,245
Finite-lived intangibles, Accumulated Amortization (592,800) (555,440)
Finite-lived intangibles, Net Carrying Amount $ 1,957,398 1,993,805
Trade names and other    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Remaining Useful Life (in years) 12 years  
Finite-lived intangibles, Gross Carrying Amount $ 418,568 397,946
Finite-lived intangibles, Accumulated Amortization (136,528) (129,303)
Finite-lived intangibles, Net Carrying Amount $ 282,040 $ 268,643