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Summary of Significant Accounting Policies - Equity Method Investments (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Jul. 06, 2020
Oct. 10, 2018
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Jul. 01, 2020
Schedule of Equity Method Investments [Line Items]              
Equity in earnings (losses) of investees       $ 1,545 $ 719 $ (578)  
Distributions from equity method investments       736 549 174  
Impairment loss on Tremont Mortgage Trust investment       0 6,213 4,359  
Quoted market value $ 12,152     12,152 3,682    
Unrealized gain (loss) on investment, fair value option       $ 3,151 (4,700) 0  
TA              
Schedule of Equity Method Investments [Line Items]              
Ownership percentage by noncontrolling owners 4.60%     4.60%      
TA | RMR LLC              
Schedule of Equity Method Investments [Line Items]              
Number of shares owned (in shares) 621,853     621,853      
Ownership percentage 4.30%     4.30%      
Share purchase from related party (in shares) 104,738 218,577 298,538        
Ownership percentage by noncontrolling owners 4.30%     4.30%      
Purchase from related party $ 2,259 $ 3,060 $ 8,382        
TRMT              
Schedule of Equity Method Investments [Line Items]              
Equity in earnings (losses) of investees       $ 1,545 719 (545)  
Distributions from equity method investments       $ 736 549 0  
Impairment loss on Tremont Mortgage Trust investment         6,213 4,359  
TRMT | Tremont Advisors              
Schedule of Equity Method Investments [Line Items]              
Number of shares owned (in shares) 1,600,100     1,600,100      
Ownership percentage 19.30%     19.30%      
Open End Fund              
Schedule of Equity Method Investments [Line Items]              
Ownership percentage             0.50%
Equity in earnings (losses) of investees       $ 0 $ 0 (33)  
Distributions from equity method investments           $ 174