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Shareholders' Equity (Narrative) (Details)
SFr / shares in Units, $ / shares in Units, $ in Thousands, SFr in Millions
 1 Months Ended 12 Months Ended 39 Months Ended
May 31, 2024
SFr / shares
May 31, 2024
USD ($)
$ / shares
Sep. 30, 2023
SFr / shares
Sep. 30, 2023
USD ($)
$ / shares
Jun. 30, 2023
USD ($)
shares
Sep. 30, 2022
SFr / shares
Sep. 30, 2022
USD ($)
$ / shares
Jul. 31, 2022
USD ($)
Sep. 30, 2021
SFr / shares
Sep. 30, 2021
USD ($)
$ / shares
Apr. 30, 2021
USD ($)
Mar. 31, 2024
USD ($)
$ / shares
shares
Mar. 31, 2023
USD ($)
$ / shares
Mar. 31, 2022
USD ($)
$ / shares
Jul. 27, 2023
USD ($)
shares
Mar. 31, 2024
CHF (SFr)
SFr / shares
shares
Mar. 31, 2023
SFr / shares
shares
Dec. 31, 2020
shares
May 31, 2020
USD ($)
Shareholder's equity                                      
Nominal share capital issued (CHF) | SFr                               SFr 43.3      
Common stock outstanding (in shares) | shares                       173,106,620       173,106,620      
Shares, par value (in CHF per share) | SFr / shares                               SFr 0.25 SFr 0.25    
Shares in treasury, at cost (in shares) | shares                       19,243,358       19,243,358 13,763,000    
Shares that may be issued out of conditional capital (in shares) | shares                       50,000,000       50,000,000 50,000,000    
Conditionally authorized shares (in shares) | shares                                   17,310,662  
Unappropriated retained earnings                       $ 1,100,000       SFr 1,000.0      
Cash dividends per share (in dollars per share) | (per share)     SFr 1.06 $ 1.16   SFr 0.96 $ 0.98   SFr 0.87 $ 0.95   $ 1.19 $ 1.00 $ 0.95          
Payment of cash dividends       $ 182,300     $ 158,700     $ 159,400   $ 182,305 $ 158,680 $ 159,410          
Minimum percentage of annual net income to be retained in legal reserves (as a percent)                       5.00%              
Threshold of legal reserves as a percentage of issued and outstanding aggregate par value per share capital at which a minimum percentage of annual net income is no longer required to be retained (as a percent)                       20.00%       20.00%      
Portion of appropriated retained earnings representing legal reserves                       $ 10,600              
Purchases of registered shares (in shares) | shares                       4,100,000              
Stock repurchased during period, value                       $ 523,751 $ 418,346 $ 412,022          
Stock repurchase program, threshold, maximum shares held, percentage         10.00%                            
Stock repurchase program, threshold, maximum shares available for purchase | shares         17,300,000                            
Stock repurchase program, capital band for cancellation, percentage                       10.00%              
2020 Share Repurchase Program                                      
Shareholder's equity                                      
Share repurchase, authorized amount (up to)               $ 1,500,000     $ 1,000,000               $ 250,000
Increase in authorized amount               $ 500,000     $ 750,000                
Purchases of registered shares (in shares) | shares                       2,600,000     16,700,000        
Stock repurchased during period, value                       $ 159,100     $ 1,200,000        
2023 Share Repurchase Program                                      
Shareholder's equity                                      
Share repurchase, authorized amount (up to)         $ 1,000,000                            
Purchases of registered shares (in shares) | shares                       4,500,000              
Stock repurchased during period, value                       $ 364,700              
Period for which repurchase program will remain in effect (in years)         3 years                            
Aggregate cost of treasury stock acquired                       $ 19,500              
Shares repurchased for cancellation (in shares) | shares                       4,100,000              
Shares acquired for cancellation                       $ 332,100              
Amount of authorized shares available for repurchase                       $ 635,800              
Subsequent event                                      
Shareholder's equity                                      
Cash dividends declared per share (in dollars/CHF per share) | (per share) SFr 1.16 $ 1.28                                  
Common stock dividends   $ 197,200                                  
Common stock capital shares reserved for future issuance, employee equity incentive plans                                      
Shareholder's equity                                      
Shares that may be issued out of conditional capital (in shares) | shares                       25,000,000       25,000,000      
Common stock capital shares reserved for future issuance, conversion rights under future convertible bond issuance                                      
Shareholder's equity                                      
Shares that may be issued out of conditional capital (in shares) | shares                       25,000,000       25,000,000