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Income Taxes Differences between the U.S. statutory rate and the aggregate income tax provision (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Jan. 31, 2014
Oct. 31, 2013
Jul. 31, 2013
Apr. 30, 2013
Jan. 31, 2013
Oct. 31, 2012
Jul. 31, 2012
Apr. 30, 2012
Jan. 31, 2014
Jan. 31, 2013
Jan. 31, 2012
Income Tax Disclosure [Abstract]                      
Income tax provision at U.S. Federal statutory rate                 $ 98.0 $ 108.5 $ 127.0
State income tax (benefit) expense, net of the U.S. Federal benefit                 (2.9) (1.7) 2.8
Foreign income taxed at rates different from the U.S. statutory rate                 (57.1) (54.5) (61.5)
U.S. valuation allowance                 2.1 1.7 1.7
Non-deductible stock-based compensation                 10.8 21.1 12.8
Research and development tax credit benefit                 (8.8) (7.0) (6.0)
Tax expense (benefit) from closure of income tax audits and changes in uncertain tax positions                 3.6 (2.8) (0.4)
Officer compensation in excess of $1.0 million                 3.0 1.8 1.9
U.S. Manufacturer's deduction                 (0.1) (4.9) (3.0)
Other                 2.5 0.4 2.3
Income tax expense $ 2.4 $ 11.6 $ 20.1 $ 17.0 $ 11.6 $ 4.9 $ 27.5 $ 18.6 $ 51.1 $ 62.6 $ 77.6