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Earnings per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Pro forma earnings per share:                    
Income (loss) before taxes                 $ 11,686 $ (18,218)
Less: income (loss) before taxes attributable to non-controlling interests                 6,956 (9,702)
Income (loss) before taxes attributable to GSHD                 4,730 (8,516)
Less: income tax expense attributable to GSHD                 1,163 387
Net income (loss) attributable to GSHD                 $ 3,567 $ (8,903)
Weighted average shares of Class A common stock outstanding - basic (in shares)                 14,864 13,554
Effect of dilutive securities, stock options (in shares)                 1,236 0
Weighted average shares of Class A common stock outstanding - diluted                 16,100 13,554
Basic (in dollars per share) $ 0.06 $ 0.07 $ 0.06 $ 0.17 $ 0.01 $ 0.02 $ (0.68) $ 0.08 $ 0.24 $ (0.66)
Diluted (in dollars per share) $ 0.05 $ 0.06 $ 0.06 $ 0.16 $ 0.01 $ 0.02 $ (0.68) $ 0.08 $ 0.22 $ (0.66)
Employee Stock Option                    
Pro forma earnings per share:                    
Antidilutive securities excluded (in shares)                 1,650