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Summary of Significant Accounting Policies - Equity Method Investments (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
May 15, 2023
Schedule of Equity Method Investments [Line Items]        
Distributions from equity method investments $ 2,391 $ 2,221 $ 841  
Recurring basis        
Schedule of Equity Method Investments [Line Items]        
Equity method investments 23,520 18,651    
Level 1 | Recurring basis        
Schedule of Equity Method Investments [Line Items]        
Equity method investments 23,520 18,651    
SEVN        
Schedule of Equity Method Investments [Line Items]        
Unrealized gain (loss) on investment, fair value option 7,260 5,295 (1,564)  
Distributions from equity method investments 2,391 2,221 841  
Purchase price 0 0 9,469  
SEVN | Level 1 | Recurring basis        
Schedule of Equity Method Investments [Line Items]        
Equity method investments $ 23,520 18,651    
SEVN | Tremont Reality Capital        
Schedule of Equity Method Investments [Line Items]        
Number of shares owned (in shares) 1,708,058      
Ownership percentage 11.50%      
CARROLL Multifamily Venture VII, LP        
Schedule of Equity Method Investments [Line Items]        
Purchase price     213  
TA        
Schedule of Equity Method Investments [Line Items]        
Unrealized gain (loss) on investment, fair value option   $ 19,942 $ 2,574  
TA | RMR LLC        
Schedule of Equity Method Investments [Line Items]        
Number of shares owned (in shares)       621,853
Ownership percentage       4.10%
Aggregate cost       $ 13,701