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Quarterly Results of Operations (Unaudited) - Schedule of Quarterly Financial Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Quarterly Financial Information Disclosure [Abstract]                              
Revenues $ 71,378 $ 70,714 $ 63,692 $ 61,836 $ 54,941 $ 57,860 $ 44,059 $ 38,398 $ 28,786 $ 14,721 $ 40,426 $ 48,394 $ 267,620 $ 195,258 $ 132,327
Income (loss) from operations 17,960 20,507 17,081 15,911 3,617 18,507 9,841 6,583 192 (4,657) (2,475) 9,686 71,459 38,548 2,746
Net income (loss) attributable to RCIHH stockholders $ 10,612 $ 13,902 $ 10,952 $ 10,575 $ 2,300 $ 12,302 $ 6,091 $ 9,643 $ (2,793) $ (5,474) $ (3,452) $ 5,634 $ 46,041 $ 30,336 $ (6,085)
Earnings (loss) per share                              
Basic (in dollars per share) $ 1.15 $ 1.48 $ 1.15 $ 1.12 $ 0.26 $ 1.37 $ 0.68 $ 1.07 $ (0.31) $ (0.60) $ (0.37) $ 0.60 $ 4.91 $ 3.37 $ (0.66)
Diluted (in dollars per share) $ 1.15 $ 1.48 $ 1.15 $ 1.12 $ 0.26 $ 1.37 $ 0.68 $ 1.07 $ (0.31) $ (0.60) $ (0.37) $ 0.60 $ 4.91 $ 3.37 $ (0.66)
Weighted average number of common shares outstanding                              
Basic (in shares) 9,249,864 9,389,675 9,489,085 9,407,519 8,999,910 8,999,910 8,999,910 9,019,088 9,124,214 9,125,281 9,224,960 9,321,933 9,383,445 9,004,744 9,199,225
Diluted (in shares) 9,249,864 9,389,675 9,489,085 9,407,519 8,999,910 8,999,910 8,999,910 9,019,088 9,124,214 9,125,281 9,224,960 9,321,933 9,383,445 9,004,744 9,199,225