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Business Combinations, Goodwill and Acquired Intangible Assets (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Jan. 04, 2021
Jan. 05, 2020
Apr. 04, 2021
Mar. 29, 2020
Jan. 03, 2021
Business Acquisition [Line Items]          
Payments to acquire businesses     $ 0.0 $ 28.9  
Goodwill     2,140.1   $ 2,150.0
Acquired intangibles, net     $ 397.1   $ 409.7
FLIR          
Business Acquisition [Line Items]          
Cash and stock transaction value $ 8,000.0        
Cash paid per share (in dollars per share) $ 28.00        
Entity shares issued per acquire share 0.0718        
Volume weighted average price per share (in dollars per share) $ 56.00        
OakGate          
Business Acquisition [Line Items]          
Payments to acquire businesses   $ 28.5