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Impact of Change in Accounting Policies - Statement of Shareholders' Equity (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Beginning balance (in shares) 54,081,601    
Beginning balance $ 1,191,000 $ 945,174 $ 763,096
Comprehensive Income:      
Net income 322,656 281,488 262,179
Currency translation adjustment (26,522) 33,966 (12,839)
Currency impact of long-term funding (4,834) 13,730 (8,428)
Unrealized capital loss - investments (155) (272) 11
Actuarial gain/(loss) on defined benefit pension plan 2,855 50 (2,485)
Amortization of interest rate hedge (923) (923) (923)
Fair value of cash flow hedge (1,036) 1,036 0
Total comprehensive income 292,041 329,075 237,515
Exercise of share options 16,806 13,906 10,139
Issue of restricted share units / performance share units 36 44 41
Share based compensation expense 31,544 29,351 40,343
Share issue costs (16) (15) (17)
Repurchase of ordinary shares (128,960) (133,106) (110,000)
Share repurchase costs $ (66) $ (106) (275)
Ending balance (in shares) 53,971,706 54,081,601  
Ending balance $ 1,354,281 $ 1,191,000 $ 945,174
Ordinary Shares      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Beginning balance (in shares) 54,081,601 54,530,843 54,958,912
Beginning balance $ 4,664 $ 4,692 $ 4,719
Comprehensive Income:      
Exercise of share options (in shares) 408,699 458,243 393,240
Exercise of share options $ 29 $ 31 $ 26
Issue of restricted share units / performance share units (in shares) 489,568 681,742 607,878
Issue of restricted share units / performance share units $ 36 $ 44 $ 41
Repurchase of ordinary shares (in shares) (1,008,162) (1,589,227) (1,429,187)
Repurchase of ordinary shares $ (71) $ (103) $ (94)
Ending balance (in shares) 53,971,706 54,081,601 54,530,843
Ending balance $ 4,658 $ 4,664 $ 4,692
Additional Paid-in Capital      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Beginning balance 481,337 438,126 383,355
Comprehensive Income:      
Exercise of share options 16,777 13,875 10,113
Share based compensation expense 31,544 29,351 40,343
Share issue costs (16) (15) (17)
Ending balance 529,642 481,337 438,126
Other Undenominated Capital      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Beginning balance 912 809 715
Comprehensive Income:      
Repurchase of ordinary shares 71 103 94
Ending balance 983 912 809
Accumulated Other Comprehensive Income      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Beginning balance (38,713) (86,300) (61,636)
Comprehensive Income:      
Currency translation adjustment (26,522) 33,966 (12,839)
Currency impact of long-term funding (4,834) 13,730 (8,428)
Unrealized capital loss - investments (155) (272) 11
Actuarial gain/(loss) on defined benefit pension plan 2,855 50 (2,485)
Amortization of interest rate hedge (923) (923) (923)
Fair value of cash flow hedge (1,036) 1,036  
Ending balance (69,328) (38,713) (86,300)
Retained Earnings      
Increase (Decrease) in Stockholders' Equity [Roll Forward]      
Beginning balance 742,800 587,847 435,943
Comprehensive Income:      
Net income 322,656 281,488 262,179
Repurchase of ordinary shares (128,960) (133,106) (110,000)
Share repurchase costs (66) (106) (275)
Ending balance 888,326 $ 742,800 $ 587,847
Adjustments      
Comprehensive Income:      
Net income 3,709    
Adjustments | Retained Earnings      
Comprehensive Income:      
Net income 3,709    
Balance without adoption of Topic 606      
Comprehensive Income:      
Net income 326,365    
Total comprehensive income 295,750    
Ending balance $ 1,406,094    
Balance without adoption of Topic 606 | Ordinary Shares      
Comprehensive Income:      
Ending balance (in shares) 53,971,706    
Ending balance $ 4,658    
Balance without adoption of Topic 606 | Additional Paid-in Capital      
Comprehensive Income:      
Ending balance 529,642    
Balance without adoption of Topic 606 | Other Undenominated Capital      
Comprehensive Income:      
Ending balance 983    
Balance without adoption of Topic 606 | Accumulated Other Comprehensive Income      
Comprehensive Income:      
Ending balance (69,328)    
Balance without adoption of Topic 606 | Retained Earnings      
Comprehensive Income:      
Ending balance $ 940,139