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Stock-based Compensation Expense Additional Information (Details)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2016
USD ($)
$ / shares
shares
Oct. 31, 2015
USD ($)
$ / shares
shares
Oct. 31, 2016
USD ($)
period
$ / shares
shares
Oct. 31, 2015
USD ($)
$ / shares
shares
Restricted Stock Units (RSUs) and Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards vested in period, fair value | $     $ 180.3 $ 156.6
Awards granted in period     3,661,700  
Restricted Stock Units (RSUs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards granted in period     3,200,000  
Allocated share-based compensation expense | $ $ 45.2 $ 37.9 $ 125.5 103.7
Performance Stock Unit        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards granted in period     400,000  
Allocated share-based compensation expense | $ $ 4.9 $ 5.7 $ 17.1 $ 17.2
Award vesting period     3 years  
Employee Qualified Stock Purchase Plan 1998 ESP Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Employee stock purchase plan maximum percentage of compensation to purchase shares by eligible participants     15.00%  
Employee stock purchase plan minimum percentage of common stock fair value defined to purchase shares by eligible participants     85.00%  
Employee stock purchase plan, number of exercise periods | period     4  
Employee stock purchase plan, term of exercise period     6 months  
Employee stock purchase plan, term of offering period     24 months  
Shares issued under employee stock purchase plans (shares) 1,100,000 1,000,000 2,300,000 2,100,000
Awards issued, share average price (in usd per share) | $ / shares $ 37.36 $ 35.59 $ 36.99 $ 36.29
Weighted average grant date fair value per share of stock options granted (in dollars per share) | $ / shares $ 20.75 $ 11.91 $ 19.20 $ 11.85
Share-based Compensation Award, Tranche One | Performance Stock Unit        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
PSU Annual Vesting Percentage     33.33%  
Share-based Compensation Award, Tranche Two | Performance Stock Unit        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
PSU Annual Vesting Percentage     33.33%  
Share-based Compensation Award, Tranche Three | Performance Stock Unit        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
PSU Annual Vesting Percentage     33.33%