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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Sep. 30, 2024
Operating Loss Carryforwards [Line Items]      
Effective income tax rate reconciliation (in percent) 27.90% 22.20%  
Tax receivable agreement liability $ 40.6   $ 40.6
Percentage of net cash savings 85.00%    
Deferred Tax Assets, Operating Loss Carryforwards, Domestic     0.9
Tax Credit Carryforward, Amount     3.7
Deferred Tax Asset, Interest Carryforward     0.9
Domestic Tax Jurisdiction      
Operating Loss Carryforwards [Line Items]      
Operating loss carryforwards     4.3
State and Local Jurisdiction      
Operating Loss Carryforwards [Line Items]      
Operating loss carryforwards     $ 0.3