CONSOLIDATED STATEMENTS OF STOCKHOLDERS’ EQUITY - USD ($) shares in Thousands, $ in Thousands	Total	Additional Paid-In Capital	Other Comprehensive Income	Retained Earnings	Non- Controlling Interests	Class A Common Stock Common Stock	Class B Common Stock Common Stock
Beginning balance (in shares) at Dec. 31, 2018						24,960	23,584
Beginning balance at Dec. 31, 2018	$ 293,254	$ 146,154	$ (167)	$ 8,717	$ 138,546	$ 2	$ 2
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Distribution to continuing equity owners	(23,924)				(23,924)
Equity-based compensation	13,044	13,044
Activity under equity-based compensation plans (in shares)						359
Activity under equity-based compensation plans	2,218	2,218
Shares issued for purchase consideration (in shares)						127
Shares issued for purchase consideration	2,221	2,221
Cumulative translation adjustment, net of tax	1,458		958		500
Establishment of liabilities under tax receivable agreement and related changes to deferred tax assets	(10,947)	(10,947)
Redemption of common units of FAH, LLC, units (in shares)						9,472	(9,069)
Redemption of common units of FAH, LLC	0	51,484			(51,484)	$ 1	$ (1)
Net income	27,820			11,725	16,095
Ending balance (in shares) at Dec. 31, 2019						34,918	14,515
Ending balance at Dec. 31, 2019	305,144	204,174	791	20,442	79,733	$ 3	$ 1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Distribution to continuing equity owners	(3,576)				(3,576)
Equity-based compensation	10,116	10,116
Activity under equity-based compensation plans (in shares)						226
Activity under equity-based compensation plans	118	118
Cumulative translation adjustment, net of tax	1,415		927		488
Establishment of liabilities under tax receivable agreement and related changes to deferred tax assets	(536)	(536)
Redemption of common units of FAH, LLC, units (in shares)						513	(475)
Redemption of common units of FAH, LLC	1	2,269			(2,269)	$ 1	$ 0
Net income	9,763			3,961	5,802
Ending balance (in shares) at Dec. 31, 2020						35,657	14,040
Ending balance at Dec. 31, 2020	322,445	216,141	1,718	24,403	80,178	$ 4	$ 1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Distribution to continuing equity owners	(9,277)				(9,277)
Equity-based compensation	12,994	12,994
Activity under equity-based compensation plans (in shares)						554
Activity under equity-based compensation plans	5,956	5,956
Cumulative translation adjustment, net of tax	(683)		(544)		(139)
Establishment of liabilities under tax receivable agreement and related changes to deferred tax assets	(3,532)	(3,532)
Redemption of common units of FAH, LLC, units (in shares)						3,877	(3,349)
Redemption of common units of FAH, LLC	0	20,746			(20,746)	$ 0	$ 0
Net income	67,854			43,900	23,954
Other	801	200	(96)	(253)	950
Ending balance (in shares) at Dec. 31, 2021						40,088	10,691
Ending balance at Dec. 31, 2021	$ 396,558	$ 252,505	$ 1,078	$ 68,050	$ 74,920	$ 4	$ 1