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Shareholders' Equity (Narrative) (Details) SFr / shares in Units, $ / shares in Units, SFr in Millions | 1 Months Ended | 12 Months Ended |  |  |  |  |
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Apr. 30, 2021 USD ($) | Apr. 30, 2021 CHF (SFr) | Sep. 30, 2020 USD ($) $ / shares | Sep. 30, 2020 SFr / shares | May 31, 2020 USD ($) shares | Sep. 30, 2019 USD ($) $ / shares | Sep. 30, 2019 SFr / shares | Sep. 30, 2018 USD ($) $ / shares | Sep. 30, 2018 SFr / shares | Mar. 31, 2021 USD ($) $ / shares shares | Mar. 31, 2020 USD ($) $ / shares | Mar. 31, 2019 USD ($) $ / shares | Mar. 31, 2021 CHF (SFr) SFr / shares shares | Dec. 31, 2020 shares | Mar. 31, 2020 SFr / shares shares | Dec. 31, 2018 shares | Mar. 31, 2017 USD ($) shares
Shareholder's equity |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Nominal share capital issued (CHF) | SFr |  |  |  |  |  |  |  |  |  |  |  |  | SFr 43.3 |  |  |  |
Conditionally authorized shares (in shares) | shares |  |  |  |  |  |  |  |  |  | 173,106,620 |  |  | 173,106,620 | 17,310,662 |  | 34,621,324 |
Shares, par value (in CHF per share) | SFr / shares |  |  |  |  |  |  |  |  |  |  |  |  | SFr 0.25 |  | SFr 0.25 |  |
Treasury shares (in shares) | shares |  |  |  |  |  |  |  |  |  | 4,798,723 |  |  | 4,798,723 |  | 6,210,000 |  |
Dividends |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Unappropriated retained earnings |  |  |  |  |  |  |  |  |  | $ 1,109,100,000 |  |  | SFr 1,046.5 |  |  |  |
Payment of cash dividends |  |  | $ 146,700,000 |  |  | $ 124,200,000 |  | $ 114,000,000.0 |  | $ 146,705,000 | $ 124,180,000 | $ 113,971,000 |  |  |  |  |
Cash dividends per share (in dollars/CHF per share) | (per share) |  |  | $ 0.87 | SFr 0.79 |  | $ 0.74 | SFr 0.73 | $ 0.69 | SFr 0.67 | $ 0.87 | $ 0.74 | $ 0.69 |  |  |  |  |
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 |  |  |  |  |  |  |  |  |  | $ 10,200,000 |  |  |  |  |  |  |
Share Repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Reclassification of currency translation loss included in other income (expense), net |  |  |  |  |  |  |  |  |  | $ 1,738,000 | $ 0 | $ 510,000 |  |  |  |  |
Subsequent Event |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Dividends |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment of cash dividends | $ 155,800,000 | SFr 147.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
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 2017 program |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share repurchase, authorized amount |  |  |  |  |  |  |  |  |  | $ 250,000,000 |  |  |  |  |  |  | $ 250,000,000.0
Shares approved (in shares) | shares |  |  |  |  |  |  |  |  |  | 17,311,000 |  |  | 17,311,000 |  |  |  | 17,300,000
Amount of authorized shares available for repurchase |  |  |  |  |  |  |  |  |  | $ 85,400,000 |  |  |  |  |  |  |
May 2020 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share repurchase, authorized amount |  |  |  |  |  |  |  |  |  | $ 250,000,000 |  |  |  |  |  |  |
Shares approved (in shares) | shares |  |  |  |  | 17,300,000 |  |  |  |  | 17,311,000 |  |  | 17,311,000 |  |  |  |
Period for which repurchase program will remain in effect |  |  |  |  | 3 years |  |  |  |  |  |  |  |  |  |  |  |
May 2020 | Subsequent Event |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Increase in authorized amount | 750,000,000.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
April 2021 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share repurchase, authorized amount |  |  |  |  | $ 250,000,000.0 |  |  |  |  |  |  |  |  |  |  |  |
April 2021 | Subsequent Event |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share Repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share repurchase, authorized amount | $ 1,000,000,000.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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