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Goodwill and Other Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 30, 2020
Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangibles, Accumulated Amortization $ (655,294) $ (593,221)
Intangible Assets    
Gross Carrying Amount 2,565,841 2,888,057
Net Carrying Amount 1,910,547 2,294,836
Trade names    
Indefinite-lived intangibles    
Indefinite-lived intangibles $ 685,271 685,324
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Remaining Useful Life (in years) 13 years  
Finite-lived intangibles, Gross Carrying Amount $ 1,670,783 1,931,212
Finite-lived intangibles, Accumulated Amortization (542,655) (489,471)
Finite-lived intangibles, Net Carrying Amount $ 1,128,128 1,441,741
Trade names and other    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Remaining Useful Life (in years) 14 years  
Finite-lived intangibles, Gross Carrying Amount $ 209,787 271,521
Finite-lived intangibles, Accumulated Amortization (112,639) (103,750)
Finite-lived intangibles, Net Carrying Amount $ 97,148 $ 167,771