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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
May 31, 2025
SFr / shares
May 31, 2025
USD ($)
$ / shares
Mar. 31, 2025
USD ($)
shares
Sep. 30, 2024
SFr / shares
Sep. 30, 2024
USD ($)
$ / shares
shares
Sep. 30, 2023
SFr / shares
Sep. 30, 2023
USD ($)
$ / shares
Jun. 30, 2023
USD ($)
Sep. 30, 2022
SFr / shares
Sep. 30, 2022
USD ($)
$ / shares
Mar. 31, 2025
USD ($)
$ / shares
shares
Mar. 31, 2024
USD ($)
$ / shares
shares
Mar. 31, 2023
USD ($)
$ / shares
shares
Mar. 31, 2025
CHF (SFr)
SFr / shares
shares
Mar. 31, 2024
SFr / shares
shares
Mar. 31, 2022
USD ($)
Mar. 31, 2021
USD ($)
May 31, 2020
USD ($)
Shareholder's equity                                    
Nominal share capital issued (CHF) | SFr                           SFr 42.2        
Common stock outstanding (in shares)     168,994,142               168,994,142     168,994,142        
Shares, par value (in CHF per share) | SFr / shares                           SFr 0.25 SFr 0.25      
Shares in treasury, at cost (in shares)     20,485,124               20,485,124     20,485,124 19,243,000      
Adjusted share capital period (in years)                     5 years              
Cancellation of treasury shares | $                     $ 0              
Unappropriated retained earnings     $ 921,800               $ 921,800     SFr 812.0        
Cash dividends per share (in dollars per share) | (per share)       SFr 1.16 $ 1.37 SFr 1.06 $ 1.16   SFr 0.96 $ 0.98 $ 1.37 $ 1.19 $ 1.00          
Payment of cash dividends | $         $ 207,900   $ 182,300     $ 158,700 $ 207,853 $ 182,305 $ 158,680          
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%     20.00%        
Portion of appropriated retained earnings representing legal reserves | $     $ 10,900               $ 10,900              
Stock repurchase program, threshold, maximum shares held, percentage     10.00%               10.00%     10.00%        
Stock repurchase program, threshold, maximum shares available for purchase     16,900,000               16,900,000     16,900,000        
Purchases of registered shares (in shares)                     6,700,000              
Shares acquired for equity incentive plans or potential acquisitions (in shares)                     13,800,000              
Subsequent event                                    
Shareholder's equity                                    
Cash dividends declared per share (in dollars/CHF per share) | (per share) SFr 1.26 $ 1.43                                
Common stock dividends | $   $ 212,400                                
2023 Share Repurchase Program                                    
Shareholder's equity                                    
Cancellation of treasury shares (in shares)         4,100,000                          
Cancellation of treasury shares | $         $ 332,100                          
Share repurchase, authorized amount (up to) | $     $ 1,600,000         $ 1,000,000     $ 1,600,000              
Increase in authorized amount under share repurchase program | $     600,000                              
Period for which repurchase program will remain in effect (in years)               3 years                    
Amount of authorized shares available for repurchase | $     $ 48,300               $ 48,300              
Purchases of registered shares (in shares)                     6,679,000 4,459,000 0          
2020 Share Repurchase Program                                    
Shareholder's equity                                    
Share repurchase, authorized amount (up to) | $                               $ 1,500,000 $ 1,500,000 $ 250,000
Purchases of registered shares (in shares)                     0 2,641,000 7,562,000          
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)     25,000,000               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)     25,000,000               25,000,000     25,000,000        
Minimum                                    
Shareholder's equity                                    
Number of adjusted share capital (in shares)     155,795,958               155,795,958     155,795,958        
Maximum                                    
Shareholder's equity                                    
Number of adjusted share capital (in shares)     190,417,282               190,417,282     190,417,282