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Business and Summary of Significant Accounting Policies - Changes In the Carrying Amount of Goodwill (Details) - USD ($)
12 Months Ended
Jan. 31, 2022
Jan. 31, 2021
Jan. 31, 2020
Accounting Policies [Abstract]      
Impairment of goodwill $ 0 $ 0 $ 0
Goodwill [Roll Forward]      
Goodwill, beginning of period, gross   2,855,700,000 2,594,200,000
Less: accumulated impairment losses, beginning of the year   (149,200,000) $ (149,200,000)
Additions arising from acquisitions during the year 936,200,000 220,800,000  
Effect of foreign currency translation, measurement period adjustments and other (38,900,000) 40,700,000  
Goodwill, end of period, net $ 3,603,800,000 $ 2,706,500,000