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Business Acquisitions, Goodwill and Acquired Intangible Assets (Purchase Price) (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 30, 2019
Aug. 01, 2019
Feb. 05, 2019
Dec. 29, 2019
Dec. 30, 2018
Dec. 31, 2017
Business Acquisition [Line Items]            
Goodwill       $ 2,050.5 $ 1,735.2 $ 1,776.7
Roper Technologies, Inc            
Business Acquisition [Line Items]            
Cash paid     $ 224.8 224.8    
Goodwill       149.9    
Acquired Intangible Assets       52.4    
3M Gas And Flame Detection Business            
Business Acquisition [Line Items]            
Cash paid   $ 233.5   233.5    
Goodwill       147.7    
Acquired Intangible Assets       69.0    
Micralyne Inc            
Business Acquisition [Line Items]            
Cash paid $ 25.7     25.7    
Goodwill       7.3    
Acquired Intangible Assets       0.9    
Acquisitions In 2019            
Business Acquisition [Line Items]            
Cash paid       484.0    
Goodwill       304.9    
Acquired Intangible Assets       $ 122.3