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Stock-based Compensation Expense Additional Information (Details)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2016
USD ($)
Jul. 31, 2015
USD ($)
Jul. 31, 2016
USD ($)
period
$ / shares
shares
Jul. 31, 2015
USD ($)
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Allocated share-based compensation expense | $ $ 54.3 $ 40.7 $ 105.9 $ 90.9
Restricted Stock Units (RSUs) and Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards vested in period, fair value | $     $ 57.2 93.4
Awards granted in period | shares     1,538,800  
Restricted Stock Units (RSUs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards granted in period | shares     1,100,000  
Allocated share-based compensation expense | $ 41.5 28.0 $ 80.3 65.8
Performance Stock Unit        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards granted in period | shares     400,000  
Allocated share-based compensation expense | $ $ 5.9 $ 5.9 $ 12.2 $ 11.5
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) | shares     1,200,000 1,100,000
Awards issued, share average price (in usd per share) | $ / shares     $ 36.67 $ 36.91
Weighted average grant date fair value per share of stock options granted (in dollars per share) | $ / shares     $ 17.88 $ 15.99
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%