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Related Party Transactions (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Related Party Transaction [Line Items]      
Cash distribution directly to related party $ 21.4    
Cash distribution on behalf of related party to third party 3.4    
Accounts payable      
Related Party Transaction [Line Items]      
Accounts payable, related parties 1.3    
Other liabilities      
Related Party Transaction [Line Items]      
Tax receivable agreement, related parties 10.9    
Allocated expense | Selling, general and administrative expenses      
Related Party Transaction [Line Items]      
Expenses from transactions with related party   $ 12.6 $ 4.6
Separation costs | Selling, general and administrative expenses      
Related Party Transaction [Line Items]      
Expenses from transactions with related party 1.9 $ 6.7 $ 0.0
Master services agreement fees | Selling, general and administrative expenses      
Related Party Transaction [Line Items]      
Expenses from transactions with related party 2.2    
Share-based payment arrangement | Selling, general and administrative expenses      
Related Party Transaction [Line Items]      
Expenses from transactions with related party $ 3.9