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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, 2020 USD ($)	May 31, 2020 CHF (SFr)	Sep. 30, 2019 SFr / shares	Sep. 30, 2019 USD ($) $ / shares	Sep. 30, 2018 SFr / shares	Sep. 30, 2018 USD ($) $ / shares	Sep. 30, 2017 SFr / shares	Sep. 30, 2017 USD ($) $ / shares	Mar. 31, 2020 USD ($) $ / shares shares	Mar. 31, 2019 USD ($) $ / shares	Mar. 31, 2018 USD ($) $ / shares	May 27, 2020 USD ($)	Mar. 31, 2020 CHF (SFr) SFr / shares shares	Mar. 31, 2019 SFr / shares shares	Mar. 31, 2017 USD ($)
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									6,209,647				6,209,647	7,244,000
Conditionally authorized shares (in shares) | shares									34,621,324				34,621,324
Dividends
Unappropriated retained earnings									$ 1,134,900,000				SFr 1,096.3
Payment of cash dividends				$ 124,200,000		$ 114,000,000.0		$ 104,200,000	$ 124,180,000	$ 113,971,000	$ 104,248,000
Cash dividends per share (in dollars/CHF per share) | (per share)			SFr 0.73	$ 0.74	SFr 0.67	$ 0.69	SFr 0.61	$ 0.63	$ 0.74	$ 0.69	$ 0.63
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									$ 9,900,000
Share Repurchases
Reclassification of currency translation loss included in other income (expense), net									$ 0	$ 510,000	$ 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
Period for which repurchase program will remain in effect									3 years
Amount of authorized shares available for repurchase									$ 137,400,000
Subsequent Event
Share Repurchases
Share repurchase, authorized amount												$ 250,000,000.0
Period for which repurchase program will remain in effect	3 years	3 years
Scenario, Forecast | Subsequent Event
Dividends
Payment of cash dividends	$ 138,700,000	SFr 134.0

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