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Income taxes (Foreign rate differential by tax jurisdiction) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Income Tax Disclosure [Line Items]      
Pre-tax income (loss) $ 1,266,495 $ (134,732) $ 1,333,046
Local statutory tax rate 12.50% 12.50% 12.50%
Tax variance as a result of global activities $ 4,914 $ (390) $ 1,083
Permanent differences (118,578) (179,886) 7,596
Income (loss) before income taxes and income of investments accounted for under the equity method 1,147,917 (314,618) 1,340,642
Non-deductible expenses 19,100    
Non-taxable income 18,900    
Other permanent differences 7,400    
Ireland      
Income Tax Disclosure [Line Items]      
Pre-tax income (loss) $ 1,201,968 $ (160,739) $ 1,324,100
Local statutory tax rate 12.50% 12.50% 12.50%
Variance to Irish statutory tax rate of 12.5% 0.00% 0.00% 0.00%
Tax variance as a result of global activities $ 0 $ 0 $ 0
Income (loss) before income taxes and income of investments accounted for under the equity method 1,084,000    
United States      
Income Tax Disclosure [Line Items]      
Pre-tax income (loss) $ 42,253 $ 101,339 $ (30,041)
Local statutory tax rate 21.00% 21.00% 21.00%
Variance to Irish statutory tax rate of 12.5% 8.50% 8.50% 8.50%
Tax variance as a result of global activities $ 3,592 $ 8,614 $ (2,553)
Other      
Income Tax Disclosure [Line Items]      
Pre-tax income (loss) $ 22,274 $ (75,332) $ 38,987
Local statutory tax rate 18.40% 24.50% 21.80%
Variance to Irish statutory tax rate of 12.5% 5.90% 12.00% 9.30%
Tax variance as a result of global activities $ 1,322 $ (9,004) $ 3,636
Non-deductible expenses 152,800    
Non-taxable income 151,200    
Other permanent differences $ 116,900