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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 6 Months Ended
Jul. 31, 2015
Jul. 31, 2014
Jul. 31, 2015
Jul. 31, 2014
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]        
Pre-tax intrinsic value of options exercised [1] $ 3.6 $ 21.4 $ 17.4 $ 44.2
[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.