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Shareholders’ Equity - Distributions (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Nov. 19, 2020
Aug. 20, 2020
May 21, 2020
Feb. 20, 2020
Nov. 14, 2019
Aug. 15, 2019
May 16, 2019
Feb. 21, 2019
Nov. 15, 2018
Aug. 16, 2018
May 17, 2018
Feb. 22, 2018
Nov. 16, 2017
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Class of Stock [Line Items]                                
Common stock shares outstanding (in shares)                           15,000,000 15,000,000  
Common class A and B1                                
Class of Stock [Line Items]                                
Dividends paid (in dollars per share)                           $ 1.52 $ 1.40 $ 1.00
Value of dividends                           $ 24,789 $ 22,727 $ 16,169
Class A common shares                                
Class of Stock [Line Items]                                
Common stock shares outstanding (in shares)                           15,395,641 15,302,710  
ABP Trust | Class A common shares                                
Class of Stock [Line Items]                                
Value of dividends   $ 4,500 $ 4,500 $ 4,500 $ 4,500 $ 4,500 $ 4,500 $ 4,500 $ 4,500 $ 3,750 $ 3,750 $ 3,750 $ 3,750 $ 18,000 $ 18,000 15,000
Common stock shares outstanding (in shares)                           15,000,000    
Subsequent Event | Common class A and B1                                
Class of Stock [Line Items]                                
Dividends paid (in dollars per share) $ 0.38                              
Value of dividends $ 6,230                              
Common stock shares outstanding (in shares) 16,395,641                              
Subsequent Event | ABP Trust | Class A common shares                                
Class of Stock [Line Items]                                
Value of dividends $ 4,500                              
RMR LLC | Common class A and B1                                
Class of Stock [Line Items]                                
Value of dividends   $ 4,895 $ 4,894 $ 4,890 $ 4,891 $ 4,871 $ 4,872 $ 4,869 $ 4,869 $ 4,044 $ 4,044 $ 4,040 $ 4,041 $ 19,570 $ 19,481 $ 16,169
RMR LLC | RMR LLC                                
Class of Stock [Line Items]                                
Dividends paid (in dollars per share)   $ 0.30 $ 0.30 $ 0.30 $ 0.30 $ 0.30 $ 0.30 $ 0.30 $ 0.30 $ 0.25 $ 0.25 $ 0.25 $ 0.25 $ 1.20 $ 1.20 $ 1.00
Value of dividends   $ 9,395 $ 9,394 $ 9,390 $ 9,391 $ 9,371 $ 9,372 $ 9,369 $ 9,369 $ 7,794 $ 7,794 $ 7,790 $ 7,791 $ 37,570 $ 37,481 $ 31,169
RMR LLC | RMR LLC | Common class A and B1                                
Class of Stock [Line Items]                                
Dividends paid (in dollars per share)   $ 0.38 $ 0.38 $ 0.38 $ 0.38 $ 0.35 $ 0.35 $ 0.35 $ 0.35 $ 0.25 $ 0.25 $ 0.25 $ 0.25      
Value of dividends   $ 6,200 $ 6,200 $ 6,194 $ 6,195 $ 5,683 $ 5,684 $ 5,680 $ 5,680 $ 4,044 $ 4,044 $ 4,040 $ 4,041      
RMR LLC | Subsequent Event | Common class A and B1                                
Class of Stock [Line Items]                                
Dividends paid (in dollars per share) $ 0.30                              
Value of dividends $ 4,919                              
RMR LLC | Subsequent Event | RMR LLC                                
Class of Stock [Line Items]                                
Value of dividends $ 9,419