Acquisitions and Dispositions - Schedule of Unaudited Pro Forma Combined Results of Operations (Details) - Baby Dolls-Chicas Locas - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended	9 Months Ended
Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022
Business Acquisition [Line Items]
Pro forma revenues	$ 77,055	$ 76,733	$ 231,479	$ 213,762
Pro forma net income attributable to RCIHH common stockholders	$ 9,085	$ 15,824	$ 26,129	$ 40,503
Pro forma earnings per share – basic (in dollars per share)	$ 0.96	$ 1.65	$ 2.77	$ 4.21
Pro forma earnings per share – diluted (in dollars per share)	$ 0.96	$ 1.65	$ 2.77	$ 4.21
Pro forma weighted average number of common shares outstanding - diluted (in shares)	9,430,225	9,589,675	9,430,236	9,628,461
Pro forma weighted average number of common shares outstanding - basic (in shares)	9,430,225	9,589,675	9,430,236	9,628,461

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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