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Summary of Significant Accounting Policies - Other Assets (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jun. 05, 2015
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Other assets, net of accumulated amortization   $ 106,063 $ 115,479  
Total Managed Equity REITs        
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Cash and shares received from related party $ 167,764      
Other assets, net of accumulated amortization $ 193,806      
Total Managed Equity REITs | Up C Transaction        
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Amortization of other assets   $ 9,416 $ 9,416 $ 9,416