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Goodwill Changes in the Carrying Amount of Goodwill (Details) (USD $)
In Millions, unless otherwise specified
9 Months Ended
Oct. 31, 2014
Goodwill [Roll Forward]  
Goodwill before accumulated impairment losses beginning balance $ 1,159.1
Accumulated impairment losses beginning balance (149.2)
Goodwill 1,009.9
Effect of foreign currency translation, purchase accounting and other (12.0)
Goodwill before accumulated impairment losses ending balance 1,623.3
Accumulated impairment losses ending balance (149.2)
Goodwill 1,474.1
Platform Solutions and Emerging Business
 
Goodwill [Roll Forward]  
Goodwill before accumulated impairment losses beginning balance 142.3
Accumulated impairment losses beginning balance 0
Goodwill 142.3
Effect of foreign currency translation, purchase accounting and other (3.8)
Goodwill before accumulated impairment losses ending balance 330.0
Accumulated impairment losses ending balance 0
Goodwill 330.0
Architecture, Engineering and Construction
 
Goodwill [Roll Forward]  
Goodwill before accumulated impairment losses beginning balance 415.2
Accumulated impairment losses beginning balance 0
Goodwill 415.2
Effect of foreign currency translation, purchase accounting and other (6.2)
Goodwill before accumulated impairment losses ending balance 424.5
Accumulated impairment losses ending balance 0
Goodwill 424.5
Manufacturing
 
Goodwill [Roll Forward]  
Goodwill before accumulated impairment losses beginning balance 411.6
Accumulated impairment losses beginning balance 0
Goodwill 411.6
Effect of foreign currency translation, purchase accounting and other (0.1)
Goodwill before accumulated impairment losses ending balance 622.2
Accumulated impairment losses ending balance 0
Goodwill 622.2
Media and Entertainment
 
Goodwill [Roll Forward]  
Goodwill before accumulated impairment losses beginning balance 190.0
Accumulated impairment losses beginning balance (149.2)
Goodwill 40.8
Effect of foreign currency translation, purchase accounting and other (1.9)
Goodwill before accumulated impairment losses ending balance 246.6
Accumulated impairment losses ending balance (149.2)
Goodwill 97.4
Delcam
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 192.8
Goodwill 192.8
Delcam | Platform Solutions and Emerging Business
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Delcam | Architecture, Engineering and Construction
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Delcam | Manufacturing
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 192.8
Delcam | Media and Entertainment
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Within Technologies
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 80.6
Goodwill 80.6
Within Technologies | Platform Solutions and Emerging Business
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 80.6
Within Technologies | Architecture, Engineering and Construction
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Within Technologies | Manufacturing
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Within Technologies | Media and Entertainment
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Shotgun
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 43.2
Goodwill 43.2
Shotgun | Platform Solutions and Emerging Business
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Shotgun | Architecture, Engineering and Construction
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Shotgun | Manufacturing
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 0
Shotgun | Media and Entertainment
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 43.2
Other acquisitions
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 159.6
Goodwill 159.6
Other acquisitions | Platform Solutions and Emerging Business
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 110.9
Other acquisitions | Architecture, Engineering and Construction
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 15.5
Other acquisitions | Manufacturing
 
Goodwill [Roll Forward]  
Goodwill, acquired during period 17.9
Other acquisitions | Media and Entertainment
 
Goodwill [Roll Forward]  
Goodwill, acquired during period $ 15.3