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NON-CONTROLLING INTEREST - Ownership Interest (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024
Noncontrolling Interest [Abstract]
Net income attributable to non-controlling interest	$ 923	$ 1,470	$ 1,975	$ 1,908
Distributions to non-controlling interest holders	$ 283		283	0
Redemption of common units in i3 Verticals, LLC			(11,730)	(384)
Recapitalization from contribution to i3 Verticals, LLC			5,689	0
Allocation of equity (from) to non-controlling interests			(3,356)	3,750
Net transfers (from) to non-controlling interests			(9,114)	3,366
Change from net income attributable to non-controlling interests and net transfers to non-controlling interests			$ (7,139)	$ 5,274

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