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Stock-based Compensation Expense (Summary of Restricted Stock Award and Restricted Stock Unit Activity) (Details)
3 Months Ended
Apr. 30, 2018
$ / shares
shares
Restricted Stock Units (RSUs) and Performance Shares  
Unvested Restricted Stock Units  
Unvested restricted stock units, beginning balance (shares) 5,670,700
Granted (shares) 391,900
Vested (shares) (712,400)
Canceled/Forfeited (shares) (279,700)
Unvested restricted stock units, ending balance (shares) 5,100,400
Weighted average grant date fair value per share  
Unvested restricted stock units, beginning balance (usd per share) | $ / shares $ 82.94
Granted (in usd per share) | $ / shares 143.47
Vested (in usd per share) | $ / shares 82.44
Canceled/Forfeited (in usd per share) | $ / shares 80.85
Unvested restricted stock units, ending balance (usd per share) | $ / shares $ 88.55
Performance Stock Unit  
Unvested Restricted Stock Units  
Granted (shares) 200,000
Performance adjustment (shares) 29,900
Weighted average grant date fair value per share  
Performance adjustment (in usd per share) | $ / shares $ 101.74
Minimum | Restricted Stock Units (RSUs) and Performance Shares  
Weighted average grant date fair value per share  
Performance shares units payout 90.00%
Maximum | Restricted Stock Units (RSUs) and Performance Shares  
Weighted average grant date fair value per share  
Performance shares units payout 117.60%