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Related Party Transactions (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Sep. 30, 2021
Related Party Transaction [Line Items]      
Cash distributions directly to related parties $ 3.2 $ 3.2  
Cash distributions on behalf of related parties to third party   $ 0.4  
Percentage of tax savings owed to related party 85.00% 85.00%  
Accounts payable      
Related Party Transaction [Line Items]      
Accounts payable, trade, related parties $ 0.9   $ 2.2
Tax receivable agreement, related parties 0.3   0.3
Other liabilities      
Related Party Transaction [Line Items]      
Tax receivable agreement, related parties 10.2   $ 10.2
Master services agreement fees | Selling, general and administrative expenses      
Related Party Transaction [Line Items]      
Expenses from transactions with related party 0.6 $ 0.6  
Share-based payment arrangement | Selling, general and administrative expenses      
Related Party Transaction [Line Items]      
Expenses from transactions with related party $ 0.5 $ 0.8