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Goodwill and Other Assets (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Goodwill [Line Items]      
Goodwill $ 1,422.5 $ 1,407.8 $ 1,289.0
Accumulated impairment losses (290.7) (290.7) (290.7)
Beginning balance 1,117.1 998.3  
Goodwill acquired   5.6  
Goodwill adjustment   (2.9)  
Currency translation adjustment 14.7 116.1  
Ending balance 1,131.8 1,117.1  
Services Segment [Member]      
Goodwill [Line Items]      
Goodwill 964.3 957.2 890.0
Accumulated impairment losses (290.7) (290.7) (290.7)
Beginning balance 666.5 599.3  
Goodwill acquired   5.6  
Goodwill adjustment   (1.1)  
Currency translation adjustment 7.1 62.7  
Ending balance 673.6 666.5  
Software Segment [Member]      
Goodwill [Line Items]      
Goodwill 258.3 254.0 224.9
Accumulated impairment losses 0.0 0.0 0.0
Beginning balance 254.0 224.9  
Goodwill acquired   0.0  
Goodwill adjustment   (1.0)  
Currency translation adjustment 4.3 30.1  
Ending balance 258.3 254.0  
Systems Segment [Member]      
Goodwill [Line Items]      
Goodwill 199.9 196.6 174.1
Accumulated impairment losses 0.0 0.0 $ 0.0
Beginning balance 196.6 174.1  
Goodwill acquired   0.0  
Goodwill adjustment   (0.8)  
Currency translation adjustment 3.3 23.3  
Ending balance $ 199.9 $ 196.6