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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, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Quarterly Financial Information Disclosure [Abstract]                              
Revenues $ 45,183 $ 47,027 $ 44,826 $ 44,023 $ 40,676 $ 42,634 $ 41,226 $ 41,212 $ 39,210 $ 37,429 $ 34,518 $ 33,739 $ 181,059 $ 165,748 $ 144,896
Income from operations 2,429 [1] 9,974 [1] 11,166 [1] 11,132 [1] 699 [2] 9,492 [2] 8,231 [2] 9,140 [2] 1,436 [3] 7,883 [3] 7,487 [3] 6,333 [3] 34,701 [4] 27,562 [4] 23,139 [4]
Net income attributable to RCIHH shareholders $ 458 [1] $ 5,638 [1] $ 6,735 [1] $ 6,344 [1] $ (3,506) [2] $ 5,389 [2] $ 4,685 [2] $ 14,311 [2] $ (2,239) [3] $ 3,841 [3] $ 3,759 [3] $ 2,898 [3] $ 19,175 $ 20,879 $ 8,259
Earnings per share, Basic and diluted $ 0.05 [1] $ 0.59 [1] $ 0.70 [1] $ 0.65 [1] $ (0.36) [2] $ 0.55 [2] $ 0.48 [2] $ 1.47 [2]              
Weighted average number of common shares outstanding, Basic and diluted 9,616 9,620 9,679 9,713 9,719 9,719 9,719 9,719              
Earnings (loss) per share - basic         $ (0.36)       $ (0.23) [3] $ 0.40 [3] $ 0.39 [3] $ 0.30 [3] $ 1.99 $ 2.15 $ 0.85
Earnings (loss) per share - diluted         $ (0.36)       $ (0.23) [3] $ 0.40 [3] $ 0.39 [3] $ 0.30 [3] $ 1.99 $ 2.15 $ 0.85
Weighted average number of common shares outstanding, Basic                 9,719 9,719 9,719 9,768 9,657,000 9,719,000 9,731,000
Weighted average number of common shares outstanding, Diluted                 9,719 9,719 9,721 9,814 9,657,000 9,719,000 9,743,000
[1] Fiscal year 2019 income from operations, net income attributable to RCIHH shareholders, and earnings per share included the impact of a $6.0 million in asset impairments in the fourth quarter, a $2.9 million net gain on sale of businesses and assets ($1.2 million in the first quarter, $1.1 million in the second quarter, $0.3 million in the third quarter and $0.4 million in the fourth quarter), and a $0.8 million net gain on insurance ($0.1 million net loss in the third quarter and $0.9 million net gain in the fourth quarter). Quarterly effective income tax expense (benefit) rate was 22.0%, 22.3%, 24.1%, and (371.7%) from first to fourth quarter, respectively.
[2] Fiscal year 2018 income from operations, net income attributable to RCIHH shareholders, and earnings per share included the impact of a $1.6 million loss on disposition in the second quarter, a $5.6 million in asset impairments ($1.6 million in the second quarter and $4.0 million in the fourth quarter), and a $8.8 million deferred income tax benefit related to the revaluation of deferred tax assets and liabilities ($9.7 million credit in the first quarter $38,000 expense in the second quarter, and $827,000 expense in the fourth quarter). Quarterly effective income tax expense (benefit) rate was (134.3%), 24.2%, 25.3%, and 103.8% from first to fourth quarter, respectively. See Note 3 related to revision of prior year immaterial misstatement.
[3] Fiscal year 2017 income from operations, net income attributable to RCIHH shareholders, and earnings per share included the impact of $7.6 million in asset impairment ($1.4 million in the third quarter and $6.2 in the fourth quarter) and $1.3 million additional income tax expense due to change in deferred tax liability rate in the fourth quarter. Quarterly effective income tax expense rate was 33.3%, 33.7%, 32.9%, and 99.6% from first to fourth quarter, respectively.
[4] See Note 3 for a discussion of revision of prior year immaterial misstatement.