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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Sep. 30, 2023
Income Tax Disclosure [Abstract]      
Effective income tax rate reconciliation (in percent) 22.20% 22.80%  
Operating loss carryforwards     $ 6.0
Deferred tax assets, operating loss carryforwards     1.6
Tax receivable agreement liability $ 43.1   $ 43.1
Percentage of net cash savings 85.00%