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Shareholders’ Equity - Issuances/Repurchases (Details)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
USD ($)
vesting_installment
shares
Sep. 30, 2023
USD ($)
shares
Sep. 30, 2022
USD ($)
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
General and administrative expense $ 43,743 $ 36,019 $ 32,919
Equity based compensation expenses $ 187,278 $ 150,845 $ 141,323
Class A      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares granted (in shares) | shares 181,727 121,200 125,700
Managing Director | Class A      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares granted (in shares) | shares 4,219 3,000 3,000
2016 Plan | Class A      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of installments | vesting_installment 5    
General and administrative expense $ 600 $ 464 $ 547
Adjustment related to tax withholding for share based compensation 1,136 734 547
2016 Plan | Officers and Employees | Class A      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Equity based compensation expenses $ 2,705 $ 2,662 $ 3,064