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Employee and Director Stock Plans - Intrinsic Value of Options Exercised and Weighted Average Grant Date Fair Value of Stock Options Granted (Detail) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
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Jan. 31, 2020 | Jan. 31, 2019 | Jan. 31, 2018
Share-based Payment Arrangement [Abstract] |  |  |
Pre-tax intrinsic value of options exercised | $ 44.1 | $ 9.7 | $ 22.8
Weighted average grant date fair value per share of stock options assumed from acquisition (in dollars per share) | $ 0 | $ 110.40 | $ 0

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- Definition Share-based Compensation Arrangement By Share-based Payment Award, Options, Acquired In Period, Weighted Average Grant Date Fair Value + References No definition available. + Details
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- Definition Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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