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Acquisitions Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Details) - USD ($)
$ in Millions
Jul. 31, 2015
Jan. 31, 2015
Business Acquisition [Line Items]    
Goodwill $ 1,473.8 $ 1,456.2
Series of Individually Immaterial Business Acquisitions    
Business Acquisition [Line Items]    
Goodwill 23.4  
Deferred tax liability (0.8)  
Net tangible assets 0.5  
Total 37.8  
Series of Individually Immaterial Business Acquisitions | Developed technologies    
Business Acquisition [Line Items]    
Finite-lived intangibles 12.2  
Series of Individually Immaterial Business Acquisitions | Customer relationships and other non-current intangible assets    
Business Acquisition [Line Items]    
Finite-lived intangibles 1.5  
Series of Individually Immaterial Business Acquisitions | Trade name    
Business Acquisition [Line Items]    
Finite-lived intangibles $ 1.0