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Shareholders' equity (Detail)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2020
SFr / shares
shares
Dec. 31, 2019
SFr / shares
shares
Dec. 31, 2018
shares
Feb. 01, 2021
USD ($)
Nov. 19, 2020
USD ($)
May 31, 2020
$ / shares
May 20, 2020
$ / shares
Nov. 21, 2019
USD ($)
May 31, 2019
$ / shares
Dec. 01, 2018
USD ($)
May 31, 2018
$ / shares
Dec. 31, 2017
shares
Dec. 21, 2017
USD ($)
Stockholders' Equity Note [Abstract]                          
Common Stock, Dividend Rate Approved | $ / shares             $ 0.78   $ 0.75   $ 0.73    
The number of votes associated with one Common Share one                        
Annual dividend per share approved by shareholders | $ / shares           $ 3.12     $ 3.00   $ 2.92    
Authorized Share Capital [Line Items]                          
Common Shares, par value | SFr / shares SFr 24.15 SFr 24.15                      
Common Shares, shares issued | shares 477,605,264 479,783,864 479,783,864                 479,783,864  
Treasury Stock, Shares, Retired | shares 2,178,600 0 0                    
The maximum ownership percentage for voting allowed for any one shareholder 10.00%                        
General Purpose                          
Authorized Share Capital [Line Items]                          
Authorized share capital for future issuance | shares 200,000,000                        
Issuance of Debt                          
Authorized Share Capital [Line Items]                          
Authorized share capital for future issuance | shares 33,000,000                        
Employee Benefit Plans                          
Authorized Share Capital [Line Items]                          
Authorized share capital for future issuance | shares 25,410,929                        
2018 Stock Repurchase Plan [Member] [Domain]                          
Authorized Share Capital [Line Items]                          
Stock repurchase program authorized amount                         $ 1,000
2019 Stock Repurchase Plan [Member]                          
Authorized Share Capital [Line Items]                          
Stock repurchase program authorized amount                   $ 1,500      
Nov 2019 Stock Repurchase Plan [Member]                          
Authorized Share Capital [Line Items]                          
Stock repurchase program authorized amount               $ 1,500          
Nov 2020 Stock Repurchase Plan [Member]                          
Authorized Share Capital [Line Items]                          
Stock repurchase program authorized amount         $ 1,500                
Subsequent Event [Member] | Nov 2020 Stock Repurchase Plan [Member]                          
Authorized Share Capital [Line Items]                          
Stock repurchase program authorized amount       $ 2,500                  
CB_Increase(Decrease)StockRepurchaseProgramAuthorizedAmount       $ 1,000