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Stockholders' Equity - Schedule of Stockholders' Equity (Details) - USD ($) | 3 Months Ended
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Mar. 31, 2021 | Dec. 31, 2020 | Mar. 31, 2020 | Sep. 30, 2019
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance, beginning of period | $ 2,263,934,000 |  | $ 2,804,151,000 |
Beginning retained earnings adjustment | (101,000) |  |  |
Non-cash stock compensation | 1,576,000 |  | 1,984,000 |
Conversion of Class B shares to Class A shares | 0 |  | 0 |
Purchase of treasury stock at cost | (145,806,000) |  | (29,203,000) |
Exercise of stock options and vesting of restricted stock, net of shares withheld to satisfy tax withholding | (1,222,000) |  | 25,614,000 |
Net (loss) income | (164,943,000) |  | 98,316,000 |
Foreign currency translation adjustment, net of tax of $0 | (59,761,000) |  | (330,116,000) |
Minimum pension liability adjustment, net of tax of $0 | (168,000) |  | (932,000) | $ (932,000)
Balance, end of period | 1,893,489,000 | $ 2,263,934,000 | 2,569,808,000 |
Foreign currency translation adjustment, tax | 0 | 0 | 0 |
Pension adjustment, tax | 0 |  | 0 |
Additional paid-in capital |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance, beginning of period | 3,760,029,000 |  | 3,724,636,000 |
Non-cash stock compensation | 1,576,000 |  | 1,984,000 |
Exercise of stock options and vesting of restricted stock, net of shares withheld to satisfy tax withholding | (1,223,000) |  | 25,610,000 |
Balance, end of period | 3,760,362,000 | 3,760,029,000 | 3,752,186,000 |
(Accumulated deficit) retained earnings |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance, beginning of period | (176,822,000) |  | 436,509,000 |
Beginning retained earnings adjustment | (101,000) |  |  |
Net (loss) income | (164,928,000) |  | 99,615,000 |
Balance, end of period | (341,851,000) | (176,822,000) | 536,124,000 |
Accumulated other comprehensive (loss) income |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance, beginning of period | (941,986,000) |  | (1,073,981,000) |
Foreign currency translation adjustment, net of tax of $0 | (59,743,000) |  | (330,875,000) |
Minimum pension liability adjustment, net of tax of $0 | (168,000) |  |  | (932,000)
Balance, end of period | (1,001,897,000) | (941,986,000) | (1,405,788,000) |
Treasury stock at cost |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance, beginning of period | (365,316,000) |  | (271,106,000) |
Purchase of treasury stock at cost | 145,806,000 |  | (29,203,000) |
Balance, end of period | (511,122,000) | (365,316,000) | (300,309,000) |
Non-controlling interests |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance, beginning of period | (12,882,000) |  | (12,812,000) |
Net (loss) income | (15,000) |  | (1,299,000) |
Foreign currency translation adjustment, net of tax of $0 | (18,000) |  | 759,000 |
Balance, end of period | $ (12,915,000) | $ (12,882,000) | $ (13,314,000) |
Class A Common Stock |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance of shares outstanding, beginning of period (in shares) | 115,119,000 |  |  |
Balance of shares outstanding, end of period (in shares) | 122,213,000 | 115,119,000 |  |
Class A Common Stock | Common Stock |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance of shares outstanding, beginning of period (in shares) | 115,119,000 |  | 119,575,000 |
Balance, beginning of period | $ 548,000 |  | $ 542,000 |
Conversion of Class B shares to Class A shares (in shares) | (17,248,000) |  | (18,000) |
Conversion of Class B shares to Class A shares | $ (69,000) |  |  |
Purchase of treasury stock at cost (in shares) | (10,401,000) |  | (1,619,000) |
Exercise of stock options and vesting of restricted stock, net of shares withheld to satisfy tax withholding (in shares) | 247,000 |  | 1,101,000 |
Exercise of stock options and vesting of restricted stock, net of shares withheld to satisfy tax withholding | $ 1,000 |  | $ 4,000 |
Balance of shares outstanding, end of period (in shares) | 122,213,000 | 115,119,000 | 119,075,000 |
Balance, end of period | $ 618,000 | $ 548,000 | $ 546,000 |
Class B Common Stock |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance of shares outstanding, beginning of period (in shares) | 90,792,000 |  |  |
Balance of shares outstanding, end of period (in shares) | 73,544,000 | 90,792,000 |  |
Class B Common Stock | Common Stock |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Balance of shares outstanding, beginning of period (in shares) | 90,792,000 |  | 90,831,000 |
Balance, beginning of period | $ 363,000 |  | $ 363,000 |
Conversion of Class B shares to Class A shares (in shares) | (17,248,000) |  |  |
Conversion of Class B shares to Class A shares | $ 69,000 |  | $ 18,000 |
Balance of shares outstanding, end of period (in shares) | 73,544,000 | 90,792,000 | 90,813,000 |
Balance, end of period | $ 294,000 | $ 363,000 | $ 363,000 |
Accretion of redeemable noncontrolling interests and equity |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Accretion of redeemable noncontrolling interests and equity |  |  |  | $ (44,000)
Redeemable noncontrolling interests and equity |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Accretion of redeemable noncontrolling interests and equity | (20,000) |  |  |
Reclassification of redeemable noncontrolling interests and equity |  |  | 38,000 |
Redeemable noncontrolling interests and equity | Additional paid-in capital |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Accretion of redeemable noncontrolling interests and equity | $ (20,000) |  |  |
Redeemable noncontrolling interests and equity | Non-controlling interests |  |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |
Reclassification of redeemable noncontrolling interests and equity |  |  | $ 38,000 |

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