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Supplemental Pro Forma Information on Prior Year Business Acquisition - 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, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Business Acquisition [Line Items]
Pro forma revenues	$ 76,180	$ 77,055	$ 222,370	$ 231,479
Pro forma net income (loss) attributable to RCIHH common stockholders	$ (5,233)	$ 9,085	$ 2,767	$ 26,129
Pro forma earnings per share – basic (in dollars per share)	$ (0.56)	$ 0.96	$ 0.30	$ 2.77
Pro forma earnings per share – diluted (in dollars per share)	$ (0.56)	$ 0.96	$ 0.30	$ 2.77
Pro forma weighted average shares used in computing earnings per share - basic (in shares)	9,278,921	9,430,225	9,332,249	9,430,236
Pro forma weighted average shares used in computing earnings per share - diluted (in shares)	9,278,921	9,430,225	9,332,249	9,430,236

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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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