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Stock-based Compensation Expense (Summary of Restricted Stock Award and Restricted Stock Unit Activity) (Details)
6 Months Ended
Jul. 31, 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) 476,700
Vested (shares) (989,600)
Canceled/Forfeited (shares) (411,000.0)
Unvested restricted stock units, ending balance (shares) 4,776,700
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 142.47
Vested (in usd per share) | $ / shares 79.10
Canceled/Forfeited (in usd per share) | $ / shares 85.49
Unvested restricted stock units, ending balance (usd per share) | $ / shares $ 90.34
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 $ 96.04
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%