Acquisitions and Dispositions - Schedule of Unaudited Pro Forma Combined Results of Operations (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2022	Mar. 31, 2021
Business Combination and Asset Acquisition [Abstract]
Pro forma revenues	$ 63,692	$ 47,393	$ 127,254	$ 90,777
Pro forma net income attributable to RCIHH common stockholders	$ 10,953	$ 5,615	$ 20,945	$ 15,507
Pro forma earnings per share – basic (in dollars per share)	$ 1.15	$ 0.59	$ 2.22	$ 1.63
Pro forma earnings per share – diluted (in dollars per share)	$ 1.15	$ 0.59	$ 2.22	$ 1.63
Pro forma weighted average number of common shares outstanding - basic (in shares)	9,489,085	9,499,910	9,447,854	9,509,604
Pro forma weighted average number of common shares outstanding - diluted (in shares)	9,489,085	9,499,910	9,447,854	9,509,604