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Income Taxes - Irish statutory rate reconciliation (Details)
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
The differences between the U.S. federal statutory income tax rate to the Company's effective tax rate      
Effective tax rate (as a percent) 2.97% 2.16% 4.67%
Ireland      
The differences between the U.S. federal statutory income tax rate to the Company's effective tax rate      
Provision at statutory income tax rate (as a percent) 25.00% 25.00% 25.00%
Foreign rate differential (as a percent) (11.49%) (6.96%) (7.51%)
Share-based compensation (as a percent) 0.75% (1.17%) 0.28%
Non-deductible executive compensation (as a percent) (0.63%) (0.51%) (0.72%)
Uncertain tax positions (as a percent) (1.26%) (0.63%) (4.00%)
Research and development tax credit carryforwards (as a percent) 1.83% 2.50% 1.79%
Foreign exchange loss (as a percent)     8.52%
Intangible asset 10.01%    
Change in valuation allowance (as a percent) (20.56%) (14.90%) (18.82%)
Other (as a percent) (0.68%) (1.17%) 0.13%
Effective tax rate (as a percent) 2.97% 2.16% 4.67%