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Taxation (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Income Tax Examination [Line Items]      
Valuation allowance $ 92 $ 83  
Unrecognized Tax Benefits 64 76 $ 47
Income Tax Credits and Adjustments 26 31  
Unrecognized tax benefits that would affect the effective tax rate 38 45  
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense 1 8 $ 5
Liabilities recorded for tax-related interest and penalties 14 $ 16  
Domestic Tax Authority [Member]      
Income Tax Examination [Line Items]      
Net operating loss carry-forwards $ 461    
Switzerland      
Income Tax Examination [Line Items]      
Applicable income tax rates 19.70% 21.20% 7.83%
Foreign Tax Authority [Member]      
Income Tax Examination [Line Items]      
Foreign tax credit carry-forward $ 156    
Bermuda      
Income Tax Examination [Line Items]      
Applicable income tax rates 0.00%    
UNITED STATES      
Income Tax Examination [Line Items]      
Applicable income tax rates 21.00%    
UNITED KINGDOM      
Income Tax Examination [Line Items]      
Applicable income tax rates 19.00%