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Stock-based Compensation Expense (Summary of Restricted Stock Award and Restricted Stock Unit Activity) (Details) - $ / shares
3 Months Ended 9 Months Ended
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2019
Restricted Stock Units (RSUs) and Performance Shares      
Unvested restricted stock units      
Unvested restricted stock units, beginning balance (shares)     4,287,400
Granted (shares)     2,812,300
Vested (shares)     (1,814,000.0)
Canceled/Forfeited (shares)     (326,100)
Unvested restricted stock units, ending balance (shares) 4,983,400   4,983,400
Weighted average grant date fair value per share      
Unvested restricted stock units, beginning balance (in usd per share)     $ 120.07
Granted (in usd per share)     153.63
Vested (in usd per share)     109.19
Canceled/Forfeited (in usd per share)     130.34
Unvested restricted stock units, ending balance (in usd per share) $ 143.06   $ 143.06
Performance Stock Unit      
Unvested restricted stock units      
Granted (shares) 0 0 300,000
Performance adjustment (shares)     23,800
Weighted average grant date fair value per share      
Performance adjustment (in usd per share)     $ 156.69
Minimum | Performance Stock Unit      
Weighted average grant date fair value per share      
Performance shares units payout (in percentage) 105.20%   105.20%
Maximum | Performance Stock Unit      
Weighted average grant date fair value per share      
Performance shares units payout (in percentage) 122.50%   122.50%