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Goodwill and Other Intangible Assets - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Business Acquisition [Line Items]    
Amortization expense $ 47.1 $ 40.2
Amortization expense, fiscal year maturity    
2019 185.8  
2020 178.7  
2021 174.8  
2022 173.2  
2023 172.2  
Thereafter 1,402.0  
Pharmedium Healthcare Holdings Inc [Member]    
Amortization expense, fiscal year maturity    
Carrying value of asset group, excluding goodwill $ 849.0