CONSOLIDATED STATEMENTS OF STOCKHOLDERS’ EQUITY - USD ($) shares in Thousands, $ in Thousands	Total	Additional Paid-In Capital	Accumulated Other Comprehensive Income (Loss)	Retained Earnings (Accumulated Deficit)	Non- Controlling Interests	Class A Common Stock	Class A Common Stock Common Stock	Class B Common Stock	Class B Common Stock Common Stock
Beginning balance (in shares) at Dec. 31, 2020							35,657		14,040
Beginning 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 (in shares)							3,877		(3,349)
Redemption of common units of FAH, LLC	0	20,746			(20,746)		$ 0
Other	801	200	(96)	(253)	950
Net (loss) income	67,854			43,900	23,954
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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Distribution to continuing equity owners	(10,709)				(10,709)
Equity-based compensation	16,591	16,591
Activity under equity-based compensation plans (in shares)							533
Activity under equity-based compensation plans	1,936	1,936
Acquisition of non-controlling interest of TokenWave, LLC (in shares)							71
Acquisition of non-controlling interest of TokenWave, LLC	(5,513)	(4,781)			(732)
Cumulative translation adjustment, net of tax	(4,695)		(3,681)		(1,014)
Establishment of liabilities under tax receivable agreement and related changes to deferred tax assets	761	761
Recapitalization of common units of FAH, LLC (in shares)									(910)
Recapitalization of common units of FAH, LLC	0	5,873			(5,873)
Redemption of common units of FAH, LLC (in shares)							6,500		(6,488)
Redemption of common units of FAH, LLC	0	37,922			(37,922)		$ 1		$ (1)
Net (loss) income	(5,240)			(8,035)	2,795
Ending balance (in shares) at Dec. 31, 2022						47,192	47,192	3,293	3,293
Ending balance at Dec. 31, 2022	389,689	310,807	(2,603)	60,015	21,465		$ 5		$ 0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Distribution to continuing equity owners	(1,118)				(1,118)
Equity-based compensation	10,534	10,534
Activity under equity-based compensation plans (in shares)							1,601
Activity under equity-based compensation plans	756	756
Cumulative translation adjustment, net of tax	2,617		2,423		194
Redemption of common units of FAH, LLC (in shares)							1,756		(1,016)
Redemption of common units of FAH, LLC	0	4,083			(4,083)		$ 0		$ 0
Net (loss) income	(164,438)			(154,079)	(10,359)
Ending balance (in shares) at Dec. 31, 2023						50,549	50,549	2,277	2,277
Ending balance at Dec. 31, 2023	$ 238,040	$ 326,180	$ (180)	$ (94,064)	$ 6,099		$ 5		$ 0