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Income Taxes - Additional Information (Details) - USD ($)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Jun. 25, 2018
Class of Stock [Line Items]        
Valuation allowance $ 27,555,000 $ 20,269,000    
Investment in partnership 56,388,000 57,080,000    
Accrued interest related to uncertain tax positions 0 0    
Accrued penalties related to uncertain tax positions 0 0    
Unrecognized tax benefits 83,000 108,000 $ 184,000  
Percent of tax benefits payable to continuing equity owners       85.00%
Tax benefits retained (percent)       15.00%
Increase in net deferred tax assets     6,307,000  
Increase tax receivable agreement liability     $ 5,361,000  
Deferred tax asset recognized $ 78,314,000 76,230,000    
Period of payment to continuing equity owners 26 years      
i3 Vericals, LLC        
Class of Stock [Line Items]        
Valuation allowance $ 21,838,000      
Change in valuation allowance for deferred tax assets (6,391,000)      
Investment in partnership 56,388,000      
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 3,315,000      
Continuing Equity Owner | Class B Common Stock        
Class of Stock [Line Items]        
Increase in deferred tax assets 898,000 13,990,000    
Increase tax receivable agreement liability 763,000 $ 11,892,000    
Deferred tax asset recognized 40,981,000      
Tax benefits due to continuing equity owners $ 40,832,000      
Common Stock | Class B Common Stock        
Class of Stock [Line Items]        
Redemption of common units in i3 Verticals, LLC (shares) (111,000) (1,671,479) 1,021,016  
Common Stock | Class A Common Stock        
Class of Stock [Line Items]        
Redemption of common units in i3 Verticals, LLC (shares) 111,000 1,671,479 1,021,016  
Federal        
Class of Stock [Line Items]        
Net operating loss carryforwards $ 43,233,000 $ 35,312,000    
Tax credit carryforward 359,000 661,000    
Provision for (Benefit from) deferred income taxes 9,438,000 $ 8,077,000    
Valuation allowance 808,000      
Change in valuation allowance for deferred tax assets (15,000)      
State        
Class of Stock [Line Items]        
Net operating loss carryforwards 108,992,000      
Provision for (Benefit from) deferred income taxes 6,913,000      
Valuation allowance 4,909,000      
Change in valuation allowance for deferred tax assets $ (880,000)