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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, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2015
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Quarterly Financial Information Disclosure [Abstract]                              
Revenues $ 40,676 $ 42,634 $ 41,226 $ 41,212 $ 39,210 $ 37,429 $ 34,518 $ 33,739 $ 33,037 $ 33,952 $ 34,396 $ 33,475 $ 165,748 $ 144,896 $ 134,860
Income from operations 1,533 [1] 9,492 [1] 8,231 [1] 9,140 [1] 1,436 [2] 7,883 [2] 7,487 [2] 6,333 [2] 769 [3] 6,657 [3] 7,550 [3] 5,717 [3] 28,396 23,139 20,693
Net income (loss) attributable to RCIHH shareholders $ (2,672) [1] $ 5,389 [1] $ 4,685 [1] $ 14,311 [1] $ (2,239) [2] $ 3,841 [2] $ 3,759 [2] $ 2,898 [2] $ 508 [3] $ 2,653 [3] $ 5,505 [3] $ 2,552 [3] $ 21,713 $ 8,259 $ 11,218
Earnings (loss) per share, Basic $ (0.27) [1] $ 0.55 [1] $ 0.48 [1] $ 1.47 [1] $ (0.23) [2] $ 0.40 [2] $ 0.39 [2] $ 0.30 [2] $ 0.05 [3] $ 0.27 [3] $ 0.55 [3] $ 0.25 [3] $ 2.23 $ 0.85 $ 1.13
Earnings (loss) per share, Diluted $ (0.27) [1] $ 0.55 [1] $ 0.48 [1] $ 1.47 [1] $ (0.23) [2] $ 0.40 [2] $ 0.39 [2] $ 0.30 [2] $ 0.05 [3] $ 0.27 [3] $ 0.54 [3] $ 0.25 [3] $ 2.23 $ 0.85 $ 1.11
Weighted average number of common shares outstanding, Basic 9,719,000 9,719,000 9,719,000 9,719,000 9,719,000 9,719,000 9,719,000 9,768,000 9,839,000 9,906,000 10,013,000 10,296,000 9,719,000 9,731,000 9,941,000
Weighted average number of common shares outstanding, Diluted 9,719,000 9,719,000 9,719,000 9,719,000 9,719,000 9,719,000 9,721,000 9,814,000 9,840,000 10,047,000 10,215,000 10,635,000 9,719,000 9,743,000 10,229,000
[1] 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 $4.7 million in asset impairments ($1.6 million in the second quarter and $3.2 million in the fourth quarter), and a $9.7 million deferred income tax benefit related to the revaluation of deferred tax assets and liabilities in the first quarter. Quarterly effective income tax expense (benefit) rate was (134.3%), 24.2%, 25.3%, and 202.2% from first to fourth quarter, respectively.
[2] 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.
[3] Fiscal year 2016 income from operations, net income attributable to RCIHH shareholders, and earnings per share included the impact of $3.5 million in asset impairment in the fourth quarter; and $1.9 million in settlement of lawsuits (significant of which were $540,000 in the first quarter and $1.1 million in the fourth quarter). Quarterly effective income tax expense (benefit) rate was 35.9%, 5.2%, 43.0%, and (109.0%) from first to fourth quarter, respectively.