Consolidated Statements of Stockholders' Equity - USD ($) $ in Thousands	Total	Common Stock	Common Stock Class A Common Stock	Common Stock Class B Common Stock	Common Stock Common Stock	Additional paid-in capital	Retained earnings (accumulated deficit)	Accumulated other comprehensive (loss) income	Treasury stock at cost	Non-controlling interests
Balance of beginning of period (in shares) at Dec. 31, 2020			115,119,000	90,792,000	0
Balance, beginning of period at Dec. 31, 2020	$ 2,263,934		$ 548	$ 363	$ 0	$ 3,760,029	$ (176,822)	$ (941,986)	$ (365,316)	$ (12,882)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Entity restructuring adjustment	(101)						(101)
Non-cash stock compensation	10,172					10,172
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding (in shares)			581,000		296,000
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding	642		$ 2		$ 2	638
Conversion of Class A and Class B common stock to Common Stock	0		$ (550)	$ (363)	$ 913
Conversion of Class A and Class B common stock to Common Stock (in shares)			(90,497,000)	(90,792,000)	181,289,000
Purchase of treasury stock at cost (in shares)			(25,203,000)		(974,000)
Purchase of treasury stock at cost	(378,858)								(378,858)
Special cash dividend and equitable adjustments to stock-based compensation awards	(1,381,787)					(1,381,787)
Change in noncontrolling interests	90					(181)				271
Accretion of redeemable noncontrolling interests and equity	(88)					(88)
Reclassification of redeemable equity to non-redeemable equity	(1)									(1)
Net income (loss)	203,785						192,446			11,339
Foreign currency translation adjustment, net of tax of $0 for all years	421,972							421,984		(12)
Minimum pension liability adjustment, net of tax of $206, $140 and $0, respectively	(202)							(202)
Balance of end of period (in shares) at Dec. 31, 2021			0	0	180,611,000
Balance, end of period at Dec. 31, 2021	1,139,558		$ 0	$ 0	$ 915	2,388,783	15,523	(520,204)	(744,174)	(1,285)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Non-cash stock compensation	8,776					8,776
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding (in shares)					1,948,000
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding	11,222				$ 8	11,214
Purchase of treasury stock at cost (in shares)					(25,546,000)
Purchase of treasury stock at cost	(282,098)								(282,098)
Special cash dividend and equitable adjustments to stock-based compensation awards	(250,188)					(204,336)	(45,852)
Change in noncontrolling interests	0					2				(2)
Accretion of redeemable noncontrolling interests and equity	0
Reclassification of redeemable equity to non-redeemable equity	316					316
Net income (loss)	68,978						69,573			(595)
Foreign currency translation adjustment, net of tax of $0 for all years	77,233							77,220		13
Minimum pension liability adjustment, net of tax of $206, $140 and $0, respectively	$ 560							560
Balance of end of period (in shares) at Dec. 31, 2022	157,013,000				157,013,000
Balance, end of period at Dec. 31, 2022	$ 774,357				$ 923	2,204,755	39,244	(442,424)	(1,026,272)	(1,869)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Non-cash stock compensation	7,114					7,114
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding (in shares)		573,000
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding	(268)		$ 2			(270)
Retirement of treasury stock	0	$ (295)				(1,025,977)			1,026,272
Special cash dividend and equitable adjustments to stock-based compensation awards	(110,889)					(5,917)	(104,972)
Change in noncontrolling interests	(124)					16				(140)
Accretion of redeemable noncontrolling interests and equity	0
Net income (loss)	107,267						107,590			(323)
Foreign currency translation adjustment, net of tax of $0 for all years	170,201							170,198		3
Minimum pension liability adjustment, net of tax of $206, $140 and $0, respectively	82							82
Balance of end of period (in shares) at Dec. 31, 2023		157,586,000
Balance, end of period at Dec. 31, 2023	$ 947,740	$ 630				$ 1,179,721	$ 41,862	$ (272,144)	$ 0	$ (2,329)