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Shareholders' Equity (Narrative) (Details)
SFr / shares in Units, $ / shares in Units, SFr in Millions
1 Months Ended 12 Months Ended
May 31, 2019
USD ($)
May 31, 2019
CHF (SFr)
Sep. 30, 2018
SFr / shares
Sep. 30, 2018
USD ($)
$ / shares
Sep. 30, 2017
SFr / shares
Sep. 30, 2017
USD ($)
$ / shares
Sep. 30, 2016
SFr / shares
Sep. 30, 2016
USD ($)
$ / shares
Mar. 31, 2019
USD ($)
$ / shares
shares
Mar. 31, 2018
USD ($)
$ / shares
Mar. 31, 2017
USD ($)
$ / shares
Mar. 31, 2019
CHF (SFr)
SFr / shares
shares
Mar. 31, 2018
SFr / shares
shares
Mar. 31, 2014
USD ($)
Shareholder's equity                            
Nominal share capital issued (CHF) | SFr                       SFr 43.3    
Shares, issued (in shares) | shares                 173,106,620     173,106,620 173,107,000  
Shares, par value (in CHF per share) | SFr / shares                       SFr 0.25 SFr 0.25  
Treasury shares (in shares) | shares                 7,243,733     7,243,733 8,527,000  
Conditionally authorized shares (in shares) | shares                 34,621,324     34,621,324    
Dividends                            
Unappropriated retained earnings                 $ 945,200,000     SFr 940.9    
Payment of cash dividends       $ 114,000,000.0   $ 104,200,000   $ 93,100,000 $ 113,971,000 $ 104,248,000 $ 93,093,000      
Cash dividends per share (in dollars/CHF per share) | (per share)     SFr 0.67 $ 0.69 SFr 0.61 $ 0.63 SFr 0.56 $ 0.57 $ 690.00 $ 630.00 $ 570.00      
Legal Reserves                            
Minimum percentage of annual net income to be retained in legal reserves                 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                 20.00%     20.00%    
Portion of appropriated retained earnings representing legal reserves                 $ 9,600,000          
Share Repurchases                            
Reclassification of currency translation loss included in other income (expense), net                 $ 510,000 $ 0 $ 0      
Common Stock Capital Shares Reserved For Future Issuance Employee Equity Incentive Plans                            
Shareholder's equity                            
Conditionally authorized shares (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                            
Conditionally authorized shares (in shares) | shares                 25,000,000     25,000,000    
March 2014 program                            
Share Repurchases                            
Share repurchase, authorized amount                 $ 250,000,000         $ 250,000,000.0
March 2017 program                            
Share Repurchases                            
Share repurchase, authorized amount                 250,000,000   $ 250,000,000.0      
Period for which repurchase program will remain in effect                   3 years        
Amount of authorized shares available for repurchase                 $ 187,400,000          
Scenario, Forecast | Subsequent Event                            
Dividends                            
Payment of cash dividends $ 122,400,000 SFr 121.8