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Acquisitions and Divestitures Completed Acquisitions (Details)
$ in Millions
9 Months Ended 12 Months Ended
Sep. 06, 2018
USD ($)
customer
Jul. 27, 2018
USD ($)
Sep. 28, 2018
USD ($)
business
Dec. 31, 2017
USD ($)
Business Acquisition [Line Items]        
Goodwill     $ 6,743.3 $ 5,098.5
Accruent        
Business Acquisition [Line Items]        
Purchase price $ 1,992.9      
Number of customers of acquired business | customer 10,000      
General annual revenues       200.0
Goodwill $ 1,217.5      
Gordian        
Business Acquisition [Line Items]        
Purchase price   $ 778.2    
General annual revenues       $ 110.0
Goodwill   $ 442.5    
Other        
Business Acquisition [Line Items]        
Purchase price     7.7  
Goodwill     $ 1.8  
Number of businesses acquired | business     1