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Recently Issued Accounting Standards (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 01, 2018
Oct. 31, 2018
Oct. 31, 2017
Oct. 31, 2018
Oct. 31, 2017
Jan. 31, 2018
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Net revenue   $ 660.9 $ 515.3 $ 1,832.5 $ 1,502.8  
Capitalized contract cost   75.8   75.8    
Accumulated deficit adjustment   (2,189.9)   (2,189.9)   $ (2,084.9)
Accounting Standards Update 2014-09 | Impact from the adoption of ASC 606 and 340-40            
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Net revenue $ 89.0          
Capitalized contract cost 90.4          
Accumulated deficit adjustment $ 179.4 $ (138.7)   $ (138.7)    
Accumulated deficit | Accounting Standards Update 2016-16            
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]            
Cumulative increase to accumulated deficit           $ 1.9