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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2017
Jul. 31, 2016
Jul. 31, 2017
Jul. 31, 2016
Income Taxes        
Unrecognized tax benefits that would affect effective tax rate, if recognized $ 9.3 $ 12.4 $ 9.3 $ 12.4
Liability for unrecognized tax benefits for interest and penalties 1.3 1.6 1.3 1.6
Income tax expense $ 12.6 $ 5.3 $ 23.8 $ 7.1