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Income Taxes - Additional Information (Details) - USD ($)
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Jun. 25, 2018
Class of Stock [Line Items]        
Valuation allowance $ 28,944,000 $ 27,555,000    
Investment in partnership 52,432,000 56,388,000    
Accrued interest related to uncertain tax positions 0 0    
Accrued penalties related to uncertain tax positions 0 0    
Unrecognized tax benefits 238,000 83,000 $ 108,000  
Percent of tax benefits payable to continuing equity owners       85.00%
Tax benefits retained       15.00%
Increase in net deferred tax assets     13,990,000  
Increase tax receivable agreement liability     $ 11,892,000  
Deferred tax asset recognized $ 89,835,000 78,314,000    
Period of payment to continuing equity owners 24 years      
i3 Vericals, LLC        
Class of Stock [Line Items]        
Valuation allowance $ 20,046,000      
Increase (decrease) in valuation allowance for deferred tax assets (1,792,000)      
Investment in partnership 52,432,000      
Minimum        
Class of Stock [Line Items]        
Expected payments for repurchase of redeemable noncontrolling interest 0      
Maximum        
Class of Stock [Line Items]        
Expected payments for repurchase of redeemable noncontrolling interest 3,235,000      
Continuing Equity Owner | Class B Common Stock        
Class of Stock [Line Items]        
Increase in deferred tax assets 206,000 898,000    
Increase tax receivable agreement liability 175,000 $ 763,000    
Deferred tax asset recognized 37,723,000      
Tax benefits due to continuing equity owners $ 40,079,000      
Common Stock | Class A Common Stock        
Class of Stock [Line Items]        
Redemption of common units in i3 Verticals, LLC (in shares) 24,748 111,000 1,671,479  
Common Stock | Class B Common Stock        
Class of Stock [Line Items]        
Redemption of common units in i3 Verticals, LLC (in shares) (24,748) (111,000) (1,671,479)  
Federal        
Class of Stock [Line Items]        
Net operating loss carryforwards $ 44,098,000 $ 43,233,000    
Tax credit carryforward 698,000 359,000    
(Benefit from) Provision for deferred income taxes 9,959,000 $ 9,438,000    
Valuation allowance 387,000      
Increase (decrease) in valuation allowance for deferred tax assets 421,000      
State        
Class of Stock [Line Items]        
Net operating loss carryforwards 124,656,000      
(Benefit from) Provision for deferred income taxes 7,871,000      
Valuation allowance 8,511,000      
Increase (decrease) in valuation allowance for deferred tax assets $ 3,602,000