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Business and Summary of Significant Accounting Policies - Changes In the Carrying Amount of Goodwill (Details) - USD ($) | 12 Months Ended
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Jan. 31, 2020 | Jan. 31, 2019 | Jan. 31, 2018
Accounting Policies [Abstract] |  |  |
Impairment of goodwill | $ 0 | $ 0 | $ 0
Goodwill [Roll Forward] |  |  |
Goodwill, beginning of period, gross |  | 2,600,000,000.0 | 1,769,400,000
Less: accumulated impairment losses, beginning of the year |  | (149,200,000) | $ (149,200,000)
Additions arising from acquisitions during the year | 0 | 866,900,000 |
Effect of foreign currency translation and measurement period adjustments | (5,800,000) | (36,300,000) |
Goodwill, end of period, net | $ 2,445,000,000.0 | $ 2,450,800,000 |

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