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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 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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