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Income taxes - Narratives (Details)
3 Months Ended 6 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Income Taxes        
Effective tax rate (as a percent) (5.60%) 5.50% (2.30%) 6.20%
U.S. statutory tax rate (as a percent) 21.00% 21.00% 21.00% 21.00%