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Segments Information Regarding Operations by Geographic Area (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Oct. 31, 2014
Oct. 31, 2013
Oct. 31, 2014
Oct. 31, 2013
Segment Reporting Information [Line Items]        
Net revenue $ 618.0 $ 555.2 $ 1,847.6 $ 1,687.3
Other Asia Pacific
       
Segment Reporting Information [Line Items]        
Net revenue     265.5 245.2
Americas
       
Segment Reporting Information [Line Items]        
Net revenue 230.8 208.3 659.8 612.1
Americas | U.S.
       
Segment Reporting Information [Line Items]        
Net revenue 189.3 171.3 543.4 502.3
Americas | Other Americas
       
Segment Reporting Information [Line Items]        
Net revenue 41.5 37.0 116.4 109.8
Europe, Middle East and Africa
       
Segment Reporting Information [Line Items]        
Net revenue 238.2 204.4 707.2 622.4
Asia Pacific
       
Segment Reporting Information [Line Items]        
Net revenue 149.0 142.5 480.6 452.8
Asia Pacific | Japan
       
Segment Reporting Information [Line Items]        
Net revenue 58.0 61.9 215.1 207.6
Asia Pacific | Other Asia Pacific
       
Segment Reporting Information [Line Items]        
Net revenue $ 91.0 $ 80.6