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Acquisitions and Dispositions - Schedule of Unaudited Pro Forma Combined Results of Operations (Details) - USD ($) $ / shares in Units, $ in Thousands | 12 Months Ended
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Sep. 30, 2022 | Sep. 30, 2021
Business Combination and Asset Acquisition [Abstract] |  |
Pro forma revenues | $ 269,347 | $ 217,996
Pro forma net income attributable to RCIHH common stockholders | $ 45,623 | $ 25,290
Pro forma earnings per share – basic (in dollars per share) | $ 4.86 | $ 2.66
Pro forma earnings per share – diluted (in dollars per share) | $ 4.86 | $ 2.66
Pro forma weighted average number of common shares outstanding - basic (in shares) | 9,383,445 | 9,504,744
Pro forma weighted average number of common shares outstanding - diluted (in shares) | 9,383,445 | 9,504,744

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