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Stockholders' Equity - Share Repurchases (Details) - USD ($) | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | ---
Jan. 31, 2020 | Jan. 31, 2019 | Oct. 31, 2019 | Mar. 31, 2017 | Dec. 31, 2011
Stockholders' Equity Note [Abstract] |  |  |  |  |
Share repurchase program, authorized amount for repurchase |  |  |  | $ 1,000,000,000.0 | $ 500,000,000.0
Share repurchase program, common stock repurchased (in shares) | 0 |  | 537,000 |  |
Share repurchase program, common stock repurchased |  | $ 6,100,000 | $ 156,100,000 |  |
Share repurchase program, remaining authorized amount for repurchase | $ 407,400,000 |  |  |  |

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