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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 |  |  |  |
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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 |  |  |

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