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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
	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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Pro forma basic earnings per share or earnings per unit, which is commonly presented in initial public offerings based on the terms of the offering.

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