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Stockholders' equity - Schedule of Calculation of EPS (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 12 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Pro forma earnings per share:      
Net income attributable to GSHD - Basic $ 27,831 $ 30,426 $ 14,140
Add: net income attributable to noncontrolling interests 16,620 18,687 9,556
Less: income tax effect on income attributable to noncontrolling interests assuming conversion of Class B common shares (4,837) (4,767) (2,524)
Net income available to GSHD - Diluted $ 39,614 $ 44,347 $ 21,172
Weighted average outstanding Class A common shares - Basic (in shares) 24,975 24,657 23,929
Earnings per share of Class A common stock - Basic (in dollars per share) $ 1.11 $ 1.23 $ 0.59
Weighted average outstanding Class B common shares (if-converted) 12,224 12,749 13,769
Stock options (in shares) 905 895 657
Weighted average outstanding Class A common shares - Diluted (in shares) 38,103 38,301 38,356
Earnings per share of Class A common stock - Diluted (in dollars per share) $ 1.04 $ 1.16 $ 0.55
Noncontrolling interest income $ 11,800 $ 13,900 $ 7,000
Class A Common Stock      
Pro forma earnings per share:      
Earnings per share of Class A common stock - Basic (in dollars per share) $ 1.11 $ 1.23 $ 0.59
Earnings per share of Class A common stock - Diluted (in dollars per share) $ 1.04 $ 1.16 $ 0.55
Antidilutive securities excluded from computation of earnings per share (in shares) 731 869 1,560