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Stockholders' Equity - Schedule of Stockholders' Equity (Details) - USD ($)
shares in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Sep. 30, 2023
Sep. 30, 2022
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance of shares outstanding, beginning of period (in shares)     157,013       157,013  
Balance, beginning of period $ 971,204,000 $ 820,932,000 $ 774,357,000 $ 1,015,227,000 $ 1,044,888,000 $ 1,139,558,000 $ 774,357,000 $ 1,139,558,000
Non-cash share-based compensation 1,794,000 1,976,000 1,124,000 $ 1,849,000 $ 2,360,000 2,762,000    
Retirement of treasury stock   0            
Purchase of treasury stock at cost (in shares)       (77) (8,013)      
Purchase of treasury stock at cost       $ (862,000) $ (93,362,000) (112,874,000)    
Exercise of stock options and vesting of restricted stock units, net of shares withheld to satisfy tax withholding 1,032,000 44,000 (447,000) 199,000 (471,000) 10,722,000    
Special cash distribution accrued on outstanding common stock       (136,642,000)        
Equitable adjustments to stock-based awards 2,000 24,000 (13,000)   (35,000)      
Change in noncontrolling interests     (124,000) (770,000) 0 (189,000)    
Reclassification of redeemable noncontrolling interests and equity         316,000      
Net income 35,981,000 56,313,000 (26,762,000) 31,036,000 43,559,000 (44,680,000) 65,532,000 29,915,000
Foreign currency translation adjustment, net of tax of $0 (46,371,000) 91,915,000 72,797,000 (42,161,000) 17,972,000 49,575,000 118,341,000 25,386,000
Minimum pension liability adjustment, net of tax of $0 0     983,000   14,000 0 997,000
Balance, end of period 963,642,000 971,204,000 820,932,000 868,859,000 1,015,227,000 1,044,888,000 963,642,000 868,859,000
Foreign currency translation adjustment, tax 0   $ 0 0 $ 0 0 0 0
Pension adjustment, tax $ 0 $ 0   $ 0   $ 0 $ 0 $ 0
Common stock                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance of shares outstanding, beginning of period (in shares) 157,220 157,174 157,013 164,663 172,505 180,611 157,013 180,611
Balance, beginning of period $ 629,000 $ 924,000 $ 923,000 $ 922,000 $ 921,000 $ 915,000 $ 923,000 $ 915,000
Retirement of treasury stock   $ (295,000)            
Purchase of treasury stock at cost (in shares)           (9,485)    
Exercise of stock options and vesting of restricted stock units, net of shares withheld to satisfy tax withholding (in shares) 147 46 161 63 171 1,379    
Exercise of stock options and vesting of restricted stock units, net of shares withheld to satisfy tax withholding $ 0   $ 1,000   $ 1,000 $ 6,000    
Balance of shares outstanding, end of period (in shares) 157,367 157,220 157,174 164,649 164,663 172,505 157,367 164,649
Balance, end of period $ 629,000 $ 629,000 $ 924,000 $ 922,000 $ 922,000 $ 921,000 $ 629,000 $ 922,000
Additional paid-in capital                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance, beginning of period 1,181,501,000 2,205,434,000 2,204,755,000 2,404,243,000 2,402,072,000 2,388,783,000 2,204,755,000 2,388,783,000
Non-cash share-based compensation 1,794,000 1,976,000 1,124,000 1,849,000 2,360,000 2,762,000    
Retirement of treasury stock   (1,025,977,000)            
Exercise of stock options and vesting of restricted stock units, net of shares withheld to satisfy tax withholding 1,032,000 44,000 (448,000) 199,000 (472,000) 10,716,000    
Special cash distribution accrued on outstanding common stock       (136,642,000)        
Equitable adjustments to stock-based awards 2,000 24,000 (13,000)   (35,000)      
Change in noncontrolling interests     16,000 (770,000) 2,000 (189,000)    
Reclassification of redeemable noncontrolling interests and equity         316,000      
Balance, end of period 1,184,329,000 1,181,501,000 2,205,434,000 2,268,879,000 2,404,243,000 2,402,072,000 1,184,329,000 2,268,879,000
Retained earnings                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance, beginning of period 68,814,000 12,637,000 39,244,000 14,735,000 (28,688,000) 15,523,000 39,244,000 15,523,000
Net income 36,158,000 56,177,000 (26,607,000) 31,117,000 43,423,000 (44,211,000)    
Balance, end of period 104,972,000 68,814,000 12,637,000 45,852,000 14,735,000 (28,688,000) 104,972,000 45,852,000
Accumulated other comprehensive loss                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance, beginning of period (277,626,000) (369,633,000) (442,424,000) (452,648,000) (470,617,000) (520,204,000) (442,424,000) (520,204,000)
Foreign currency translation adjustment, net of tax of $0 (46,373,000) 92,007,000 72,791,000 (42,160,000) 17,969,000 49,573,000    
Minimum pension liability adjustment, net of tax of $0       983,000   14,000    
Balance, end of period (323,999,000) (277,626,000) (369,633,000) (493,825,000) (452,648,000) (470,617,000) (323,999,000) (493,825,000)
Treasury stock at cost                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance, beginning of period 0 (1,026,272,000) (1,026,272,000) (950,410,000) (857,048,000) (744,174,000) (1,026,272,000) (744,174,000)
Retirement of treasury stock   1,026,272,000            
Purchase of treasury stock at cost       (862,000) (93,362,000) (112,874,000)    
Balance, end of period 0 0 (1,026,272,000) (951,272,000) (950,410,000) (857,048,000) 0 (951,272,000)
Non-controlling interests                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Balance, beginning of period (2,114,000) (2,158,000) (1,869,000) (1,615,000) (1,752,000) (1,285,000) (1,869,000) (1,285,000)
Change in noncontrolling interests     (140,000)   (2,000)      
Net income (177,000) 136,000 (155,000) (81,000) 136,000 (469,000)    
Foreign currency translation adjustment, net of tax of $0 2,000 (92,000) 6,000 (1,000) 3,000 2,000    
Balance, end of period $ (2,289,000) $ (2,114,000) $ (2,158,000) $ (1,697,000) $ (1,615,000) $ (1,752,000) $ (2,289,000) $ (1,697,000)