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Acquisitions (Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class) (Details) - USD ($)
$ in Millions
Oct. 31, 2020
Jan. 31, 2020
Business Acquisition [Line Items]    
Goodwill $ 2,484.2 $ 2,445.0
Series of Individually Immaterial Business Acquisitions    
Business Acquisition [Line Items]    
Goodwill 31.4  
Deferred revenue and long-term deferred revenue (2.2)  
Net tangible liabilities (2.3)  
Total 45.4  
Developed technologies | Series of Individually Immaterial Business Acquisitions    
Business Acquisition [Line Items]    
Finite-lived intangibles 12.0  
Customer relationships | Series of Individually Immaterial Business Acquisitions    
Business Acquisition [Line Items]    
Finite-lived intangibles 5.7  
Trade name | Series of Individually Immaterial Business Acquisitions    
Business Acquisition [Line Items]    
Finite-lived intangibles $ 0.8