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Goodwill Changes in the Carrying Amount of Goodwill 2 (Details)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Oct. 31, 2016
USD ($)
ReportingUnits
segment
Oct. 31, 2016
USD ($)
Jan. 31, 2016
USD ($)
Jan. 31, 2015
USD ($)
Goodwill [Roll Forward]        
Goodwill, beginning of the period   $ 1,684.2 $ 1,605.4  
Less: accumulated impairment losses, beginning of the period     (149.2) $ (149.2)
Additions arising from acquisitions during the period   62.8 97.3  
Effect of foreign currency translation, purchase accounting adjustments, and other   (40.5) (18.5)  
Goodwill, end of the period $ 1,557.3 $ 1,557.3 $ 1,535.0  
Segment Reporting Information [Line Items]        
Number of reporting units | ReportingUnits 1      
Manufacturing        
Segment Reporting Information [Line Items]        
Number of reporting units | segment 5