Condensed Consolidated Statements of Equity - USD ($) shares in Millions, $ in Millions | Total | Cumulative Effect, Period of Adoption, Adjusted Balance | Total Equity Attributable to the Company | Total Equity Attributable to the CompanyCumulative Effect, Period of Adoption, Adjusted Balance | Ordinary Shares | Additional Paid-in Capital | Accumulated Deficit | Accumulated DeficitCumulative Effect, Period of Adoption, Adjustment | Unrealized Hedging (Losses) Gains | Foreign Currency Translation | Defined Benefit Plans | Total Accumulated Other Comprehensive Loss, net of tax | Non-Controlling Interests |
Beginning balance (in shares) at Dec. 31, 2019 | | | | | 219.5 | | | | | | | | |
Beginning balance of total equity at Dec. 31, 2019 | $ 1,301.3 | $ (10.7) | $ 1,301.3 | $ (10.7) | $ 22 | $ 2,819.1 | $ (1,297) | $ (10.7) | $ (78.4) | $ (158.4) | $ (6) | $ (242.8) | $ 0 |
Increase (Decrease) in Stockholders' Equity [Roll Forward] | | | | | | | | | | | | | |
Net income (loss) | $ (155.9) | | (155.9) | | | | (155.9) | | | | | | |
Accounting standards update | us-gaap:AccountingStandardsUpdate201613Member | | | | | | | | | | | | |
Acquisition of non-controlling interests | $ 0.4 | | | | | | | | | | | | 0.4 |
Stock-based compensation | 24.5 | | 24.5 | | | 24.5 | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes (in shares) | | | | | 1.3 | | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes | (11.2) | | (11.2) | | $ 0.1 | (11.3) | | | | | | | |
Foreign currency translation | (21.6) | | (21.6) | | | | | | | (21.6) | | (21.6) | |
Defined benefit plans actuarial gain (loss) | 2 | | 2 | | | | | | | | 2 | 2 | |
Unrealized (loss) gain on hedging instruments | (97.3) | | (97.3) | | | | | | (97.3) | | | (97.3) | |
Amounts reclassified from AOCI to the statement of operations | (1.7) | | (1.7) | | | | | | (1.7) | | | (1.7) | |
Ending balance (in shares) at Jun. 30, 2020 | | | | | 220.8 | | | | | | | | |
Ending balance of total equity at Jun. 30, 2020 | 1,029.8 | | 1,029.4 | | $ 22.1 | 2,832.3 | (1,463.6) | | (177.4) | (180) | (4) | (361.4) | 0.4 |
Beginning balance (in shares) at Mar. 31, 2020 | | | | | 220.5 | | | | | | | | |
Beginning balance of total equity at Mar. 31, 2020 | 1,084.4 | | 1,084.2 | | $ 22.1 | 2,821.7 | (1,362.8) | | (167.7) | (225.1) | (4) | (396.8) | 0.2 |
Increase (Decrease) in Stockholders' Equity [Roll Forward] | | | | | | | | | | | | | |
Net income (loss) | (100.8) | | (100.8) | | | | (100.8) | | | | | | |
Acquisition of non-controlling interests | 0.2 | | | | | | | | | | | | 0.2 |
Stock-based compensation | 12.8 | | 12.8 | | | 12.8 | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes (in shares) | | | | | 0.3 | | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes | (2.2) | | (2.2) | | | (2.2) | | | | | | | |
Foreign currency translation | 45.1 | | 45.1 | | | | | | | 45.1 | | 45.1 | |
Defined benefit plans actuarial gain (loss) | 0 | | | | | | | | | | | | |
Unrealized (loss) gain on hedging instruments | (12) | | (12) | | | | | | (12) | | | (12) | |
Amounts reclassified from AOCI to the statement of operations | 2.3 | | 2.3 | | | | | | 2.3 | | | 2.3 | |
Ending balance (in shares) at Jun. 30, 2020 | | | | | 220.8 | | | | | | | | |
Ending balance of total equity at Jun. 30, 2020 | 1,029.8 | | 1,029.4 | | $ 22.1 | 2,832.3 | (1,463.6) | | (177.4) | (180) | (4) | (361.4) | 0.4 |
Beginning balance (in shares) at Dec. 31, 2020 | | | | | 222 | | | | | | | | |
Beginning balance of total equity at Dec. 31, 2020 | 1,095.6 | | 1,094.7 | | $ 22.2 | 2,843.4 | (1,528.2) | | (158.3) | (69.4) | (15) | (242.7) | 0.9 |
Increase (Decrease) in Stockholders' Equity [Roll Forward] | | | | | | | | | | | | | |
Net income (loss) | 35.5 | | 35.5 | | | | 35.5 | | | | | | |
Stock-based compensation | 17.8 | | 17.8 | | | 17.8 | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes (in shares) | | | | | 1.3 | | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes | (6.8) | | (6.8) | | $ 0.1 | (6.9) | | | | | | | |
Foreign currency translation | (9.5) | | (9.5) | | | | | | | (9.5) | | (9.5) | |
Defined benefit plans actuarial gain (loss) | (3.2) | | (3.2) | | | | | | | | (3.2) | (3.2) | |
Unrealized (loss) gain on hedging instruments | 20.1 | | 20.1 | | | | | | 20.1 | | | 20.1 | |
Amounts reclassified from AOCI to the statement of operations | 18 | | 18 | | | | | | 18 | | | 18 | |
Ending balance (in shares) at Jun. 30, 2021 | | | | | 223.3 | | | | | | | | |
Ending balance of total equity at Jun. 30, 2021 | 1,167.5 | | 1,166.6 | | $ 22.3 | 2,854.3 | (1,492.7) | | (120.2) | (78.9) | (18.2) | (217.3) | 0.9 |
Beginning balance (in shares) at Mar. 31, 2021 | | | | | 222.9 | | | | | | | | |
Beginning balance of total equity at Mar. 31, 2021 | 1,106.8 | | 1,105.9 | | $ 22.3 | 2,846.5 | (1,545.4) | | (121.4) | (81.1) | (15) | (217.5) | 0.9 |
Increase (Decrease) in Stockholders' Equity [Roll Forward] | | | | | | | | | | | | | |
Net income (loss) | 52.7 | | 52.7 | | | | 52.7 | | | | | | |
Stock-based compensation | 10.6 | | 10.6 | | | 10.6 | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes (in shares) | | | | | 0.4 | | | | | | | | |
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes | (2.8) | | (2.8) | | | (2.8) | | | | | | | |
Foreign currency translation | 2.2 | | 2.2 | | | | | | | 2.2 | | 2.2 | |
Defined benefit plans actuarial gain (loss) | (3.2) | | (3.2) | | | | | | | | (3.2) | (3.2) | |
Unrealized (loss) gain on hedging instruments | (8.4) | | (8.4) | | | | | | (8.4) | | | (8.4) | |
Amounts reclassified from AOCI to the statement of operations | 9.6 | | 9.6 | | | | | | 9.6 | | | 9.6 | |
Ending balance (in shares) at Jun. 30, 2021 | | | | | 223.3 | | | | | | | | |
Ending balance of total equity at Jun. 30, 2021 | $ 1,167.5 | | $ 1,166.6 | | $ 22.3 | $ 2,854.3 | $ (1,492.7) | | $ (120.2) | $ (78.9) | $ (18.2) | $ (217.3) | $ 0.9 |