Income Taxes - Narrative (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023
Operating Loss Carryforwards [Line Items]
Deferred tax assets, operating loss carryforwards	$ 1,216	$ 1,557
Tax receivable agreement liability	$ 40,600	43,100
Percentage of net cash savings	85.00%
Deferred Tax Asset, Interest Carryforward	$ 900
Tax Credit Carryforward, Amount	3,700
Deferred Tax Assets, Operating Loss Carryforwards, Domestic	900	1,600
Domestic Tax Jurisdiction
Operating Loss Carryforwards [Line Items]
Federal net operating loss carryforwards	4,300	$ 6,000
State and Local Jurisdiction
Operating Loss Carryforwards [Line Items]
Federal net operating loss carryforwards	$ 300