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Segments Information Regarding Operations by Geographic Area (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2015
Oct. 31, 2014
Oct. 31, 2015
Oct. 31, 2014
Segment Reporting Information [Line Items]        
Net revenue $ 599.8 $ 618.0 $ 1,855.8 $ 1,847.6
Americas        
Segment Reporting Information [Line Items]        
Net revenue 235.8 230.8 715.5 659.8
Americas | U.S.        
Segment Reporting Information [Line Items]        
Net revenue 195.6 189.3 589.7 543.4
Americas | Other Americas        
Segment Reporting Information [Line Items]        
Net revenue 40.2 41.5 125.8 116.4
Europe, Middle East and Africa        
Segment Reporting Information [Line Items]        
Net revenue 225.1 238.2 696.2 707.2
Asia Pacific        
Segment Reporting Information [Line Items]        
Net revenue 138.9 149.0 444.1 480.6
Asia Pacific | Japan        
Segment Reporting Information [Line Items]        
Net revenue 49.0 58.0 164.8 215.1
Asia Pacific | Other Asia Pacific        
Segment Reporting Information [Line Items]        
Net revenue $ 89.9 $ 91.0 $ 279.3 $ 265.5