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Acquisitions Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Details) - USD ($)
$ in Millions
Apr. 30, 2016
Jan. 31, 2016
Business Acquisition [Line Items]    
Goodwill $ 1,580.5 $ 1,535.0
Series of Individually Immaterial Business Acquisitions    
Business Acquisition [Line Items]    
Goodwill 45.4  
Deferred revenue (current and non-current) (0.3)  
Deferred tax liability (2.8)  
Net tangible assets 0.4  
Total 61.3  
Series of Individually Immaterial Business Acquisitions | Developed technologies    
Business Acquisition [Line Items]    
Finite-lived intangibles 11.5  
Series of Individually Immaterial Business Acquisitions | Customer relationships and other non-current intangible assets    
Business Acquisition [Line Items]    
Finite-lived intangibles 4.6  
Series of Individually Immaterial Business Acquisitions | Trade name    
Business Acquisition [Line Items]    
Finite-lived intangibles $ 2.5