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Business Acquisitions, Goodwill and Acquired Intangible Assets (Narrative) (Details)
$ / shares in Units, kr in Millions, $ in Millions
12 Months Ended
Feb. 02, 2022
USD ($)
May 14, 2021
USD ($)
$ / shares
shares
Jan. 05, 2020
USD ($)
Aug. 30, 2019
USD ($)
Aug. 01, 2019
USD ($)
Feb. 05, 2019
USD ($)
Jan. 02, 2022
USD ($)
Jan. 03, 2021
USD ($)
Dec. 31, 2020
USD ($)
Dec. 29, 2019
USD ($)
Dec. 30, 2018
USD ($)
Dec. 30, 2018
SEK (kr)
Jan. 26, 2022
SEK (kr)
Business Acquisition [Line Items]                          
Payments to acquire businesses             $ 3,723.3 $ 29.0   $ 484.0      
Goodwill             7,986.7 2,150.0   2,050.5      
Acquired intangible assets, net             2,741.6 409.7          
2022             211.6            
2023             207.7            
2024             205.9            
2025             200.3            
2026             198.1            
Digital Imaging                          
Business Acquisition [Line Items]                          
Goodwill             $ 6,867.5 997.8   $ 962.7      
Minimum                          
Business Acquisition [Line Items]                          
Useful life             1 year            
Maximum                          
Business Acquisition [Line Items]                          
Useful life             15 years            
FLIR                          
Business Acquisition [Line Items]                          
Cash and stock transaction value   $ 8,100.0                      
Net cash payments   3,700.0                      
Net share issuances   3,900.0                      
Assumption of debt   $ 500.0                      
Cash paid per share (in USD per share) | $ / shares   $ 28.00                      
Entity shares issued per acquire (in shares) | shares   0.0718                      
Shares issued (in shares) | shares   9,500,000                      
Grant day fair value (in USD per share) | $ / shares   $ 409.41                      
Goodwill             $ 5,905.5            
Integration-related costs             350.3            
Additional provisional purchase accounting adjustments             177.5            
FLIR | Swedish Tax Authority                          
Business Acquisition [Line Items]                          
Total taxes paid                     $ 364.7 kr 3,100.0  
FLIR | Swedish Tax Authority | Subsequent Event                          
Business Acquisition [Line Items]                          
Total taxes paid $ 296.4                        
Estimated tax liability | kr                         kr 2,765.0
FLIR | Digital Imaging                          
Business Acquisition [Line Items]                          
Integration-related costs             242.6            
FLIR | Corporate Segment                          
Business Acquisition [Line Items]                          
Integration-related costs             77.1            
FLIR | Amortization of Intangible Assets                          
Business Acquisition [Line Items]                          
Integration-related costs             110.3            
FLIR | Cost of Sales                          
Business Acquisition [Line Items]                          
Integration-related costs             106.7            
FLIR | Selling, general and administrative                          
Business Acquisition [Line Items]                          
Integration-related costs             103.0            
FLIR | Interest expense                          
Business Acquisition [Line Items]                          
Integration-related costs             30.6            
FLIR | Subsidiaries                          
Business Acquisition [Line Items]                          
Revenue reported by acquired entity                 $ 1,923.7        
Revenue of acquiree since acquisition date             1,273.6            
Earnings of acquiree since acquisition date             80.4            
FLIR | Subsidiaries | Digital Imaging                          
Business Acquisition [Line Items]                          
Acquisition related costs             $ 242.6            
OakGate Technology, Inc.                          
Business Acquisition [Line Items]                          
Payments to acquire businesses     $ 28.5         $ 28.5          
Roper Technologies, Inc                          
Business Acquisition [Line Items]                          
Payments to acquire businesses           $ 224.8              
3M Gas And Flame Detection Business                          
Business Acquisition [Line Items]                          
Payments to acquire businesses         $ 233.5                
Purchase price adjustment - Micralyne Inc. (acquired in 2019)                          
Business Acquisition [Line Items]                          
Payments to acquire businesses       $ 25.7