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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2022
Sep. 30, 2021
Effective Income Tax Rate Reconciliation [Abstract]      
Effective tax rate 23.20% 21.20%  
Tax receivable agreement liability $ 46.2 $ 46.2 $ 40.1
Percentage of net cash savings   85.00%