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Shareholders' Equity (Details) (USD $)
Share data in Millions, except Per Share data, unless otherwise specified
1 Months Ended 3 Months Ended 12 Months Ended 12 Months Ended 1 Months Ended 12 Months Ended
Apr. 30, 2012
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2011
Sep. 30, 2011
Jun. 30, 2011
Mar. 31, 2011
Dec. 31, 2012
Dec. 31, 2011
Dec. 31, 2010
Apr. 04, 2012
Dec. 31, 2012
Continuing operations
Dec. 31, 2011
Continuing operations
Dec. 31, 2010
Continuing operations
Jan. 31, 2010
2010 - Stock Repurchase Program
Apr. 30, 2012
2012 - Share Repurchase Program
Dec. 31, 2012
2012 - Share Repurchase Program
Common Stock Programs                                      
Treasury stock shares cancelled (in shares) 60.0                                    
Impact of cancellation of treasury shares on ordinary shares $ 60,000,000                                    
Impact of cancellation of treasury shares on Retained earnings 2,400,000,000                                    
Cost of treasury stock shares eliminated 2,500,000,000                                    
Common stock, par value before redomestication (in dollars per share) $ 1.00                                    
Common stock, par value (in dollars per share) $ 0.01 $ 0.01       $ 1.00       $ 0.01 $ 1.00                
Impact of redomestication in ordinary shares 323,000,000                                    
Impact of redomestication on additional paid-in-capital 323,000,000                                    
Distributable reserves available amount   7,000,000,000               7,000,000,000     8,000,000,000            
Share repurchase authorization limit                                 2,000,000,000 5,000,000,000  
Number of shares repurchased (in shares)                                     21.6
Average price per share of shares purchased under share repurchase program (in dollars per share)                                     $ 52.16
Cost of shares repurchased                   1,125,000,000 828,000,000 250,000,000             1,100,000,000
Share repurchase, remaining authorization limit                                     4,000,000,000
Participating Securities                                      
Income from continuing operations                   11,000,000 13,000,000 15,000,000   11,000,000 13,000,000 15,000,000      
Weighted average shares outstanding                                      
Shares for basic earnings per share                   328.5 335.5 293.4              
Ordinary share equivalents                   4.1 5.4 4.7              
Shares for diluted earnings per share                   332.6 340.9 298.1              
Number of participating securities (in shares)                   4.7 7.6 6.1              
Number of shares excluded from the calculation of diluted earnings per share                   0.2 0.1 4.8              
Dividends paid on ordinary shares                   $ 204,000,000 $ 200,000,000 $ 175,000,000              
Dividends paid per ordinary share (in dollars per share)   $ 0.16 $ 0.16 $ 0.16 $ 0.15 $ 0.15 $ 0.15 $ 0.15 $ 0.15 $ 0.62 $ 0.60 $ 0.60