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Stock-based Compensation Expense Intrinsic Value of Options Exercised and Weighted Average Grant Date Fair Value of Stock Options Granted (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2015
Oct. 31, 2014
Oct. 31, 2015
Oct. 31, 2014
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]        
Pre-tax intrinsic value of options exercised $ 2.6 $ 10.3 $ 20.0 [1] $ 54.5 [1]
[1] The intrinsic value of options exercised is calculated as the difference between the exercise price of the option and the market value of the stock on the date of exercise.