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Noncontrolling Interest (Tables)
12 Months Ended
Sep. 30, 2023
Noncontrolling Interest [Abstract]  
Schedule of Impact on Equity due to Changes in Ownership Interest The following table summarizes the impact on equity due to changes in the Company's ownership interest in i3 Verticals, LLC:
Year ended September 30,
202320222021
Net loss attributable to non-controlling interest$(1,841)$(6,115)$(3,382)
Transfers to (from) non-controlling interests:
Redemption of common units in i3 Verticals, LLC(224)(918)(11,714)
Establishment of liabilities under a tax receivable agreement and related changes to deferred tax assets associated with increases in tax basis4,305 11,511 15,337 
Net transfers to non-controlling interests4,081 10,593 3,623 
Change from net income attributable to non-controlling interests and transfers to non-controlling interests$2,240 $4,478 $241