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Goodwill Changes in the Carrying Amount of Goodwill (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Apr. 30, 2014
Feb. 06, 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 6.6  
Goodwill before accumulated impairment losses ending balance 1,412.2  
Accumulated impairment losses ending balance (149.2)  
Goodwill 1,263.0  
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 0.2  
Goodwill before accumulated impairment losses ending balance 166.9  
Accumulated impairment losses ending balance 0  
Goodwill 166.9  
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 1.6  
Goodwill before accumulated impairment losses ending balance 427.4  
Accumulated impairment losses ending balance 0  
Goodwill 427.4  
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 5.0  
Goodwill before accumulated impairment losses ending balance 612.8  
Accumulated impairment losses ending balance 0  
Goodwill 612.8  
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 (0.2)  
Goodwill before accumulated impairment losses ending balance 205.1  
Accumulated impairment losses ending balance (149.2)  
Goodwill 55.9  
Delcam
   
Goodwill [Roll Forward]    
Goodwill   196.2
Goodwill, acquired during period 196.2  
Goodwill   196.2
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 196.2  
Delcam | Media and Entertainment
   
Goodwill [Roll Forward]    
Goodwill, acquired during period 0  
Other acquisitions
   
Goodwill [Roll Forward]    
Goodwill, acquired during period 50.3  
Goodwill 50.3  
Other acquisitions | Platform Solutions and Emerging Business
   
Goodwill [Roll Forward]    
Goodwill, acquired during period 24.4  
Other acquisitions | Architecture, Engineering and Construction
   
Goodwill [Roll Forward]    
Goodwill, acquired during period 10.6  
Other acquisitions | Manufacturing
   
Goodwill [Roll Forward]    
Goodwill, acquired during period 0  
Other acquisitions | Media and Entertainment
   
Goodwill [Roll Forward]    
Goodwill, acquired during period $ 15.3