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Business Combinations, Goodwill and Acquired Intangible Assets (Details) - USD ($)
$ in Millions
1 Months Ended 9 Months Ended
Jan. 05, 2020
Aug. 30, 2019
Aug. 01, 2019
Feb. 05, 2019
Jan. 31, 2020
Sep. 27, 2020
Sep. 29, 2019
Dec. 29, 2019
Business Acquisition [Line Items]                
Payments to acquire businesses, net of cash acquired           $ 29.0 $ 483.7  
Goodwill           2,091.3   $ 2,050.5
Acquired intangibles, net           $ 408.8   $ 430.8
Oak Gate Technology                
Business Acquisition [Line Items]                
Payments to acquire businesses, net of cash acquired $ 28.5              
Roper Technologies, Inc                
Business Acquisition [Line Items]                
Payments to acquire businesses, net of cash acquired       $ 224.8        
3M Gas and Flame Detection Business                
Business Acquisition [Line Items]                
Payments to acquire businesses, net of cash acquired     $ 233.5          
Micralyne Inc                
Business Acquisition [Line Items]                
Payments to acquire businesses, net of cash acquired   $ 26.2            
Purchase price adjustment         $ 0.5