Consolidated Statements of Stockholders' Equity - USD ($) $ in Thousands	Total	Revision of Prior Period, Accounting Standards Update, Adjustment	Class A Common Stock	Common Stock	Common Stock	Common Stock Class A Common Stock	Common Stock Class B Common Stock	Common Stock Common Stock	Additional paid-in capital	(Accumulated deficit) retained earnings	(Accumulated deficit) retained earnings Revision of Prior Period, Accounting Standards Update, Adjustment	Accumulated other comprehensive (loss) income	Treasury stock at cost	Non-controlling interests
Balance of beginning of period (in shares) at Dec. 31, 2019						119,575,000	90,831,000
Balance, beginning of period at Dec. 31, 2019	$ 2,804,151					$ 542	$ 363		$ 3,724,636	$ 436,509		$ (1,073,981)	$ (271,106)	$ (12,812)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Non-cash stock compensation	13,298								13,298
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding (in shares)						1,540,000
Exercise of stock options and vesting of restricted stock and restricted stock units, net of shares withheld to satisfy tax withholding	24,562					$ 6			24,556
Conversion of shares (in shares)						39,000	(39,000)
Conversion of shares	0
Purchase of treasury stock at cost (in shares)						(6,035,000)
Purchase of treasury stock at cost	(94,210)												(94,210)
Change in noncontrolling interests	861								(2,610)					3,471
Accretion of redeemable noncontrolling interests and equity	149								149
Reclassification of redeemable equity to non-redeemable equity	1,198													1,198
Net income (loss)	(618,702)									(613,331)				(5,371)
Foreign currency translation adjustment, net of tax of $0 for all years	133,827											133,195		632
Minimum pension liability adjustment, net of tax of $140, $0 and $0, respectively	(1,200)											(1,200)
Balance of end of period (in shares) at Dec. 31, 2020						115,119,000	90,792,000	0
Balance, end of period at Dec. 31, 2020	2,263,934	$ (101)				$ 548	$ 363	$ 0	3,760,029	(176,822)	$ (101)	(941,986)	(365,316)	(12,882)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
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 shares (in shares)						(90,497,000)	(90,792,000)	181,289,000
Conversion of shares	0					$ (550)	$ (363)	$ 913
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 distribution, 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 $140, $0 and $0, respectively	(202)											(202)
Balance of end of period (in shares) at Dec. 31, 2021				180,611,000		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 distribution, 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 $140, $0 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)