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ACQUISITIONS AND INVESTMENTS - Estimated Fair Values of Major Assets Acquired and Liabilities Assumed (Details) - USD ($)
$ in Millions
Dec. 01, 2021
Feb. 24, 2020
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Business Acquisition [Line Items]          
Goodwill     $ 8,502.7 $ 8,590.7 $ 7,893.1
MTD          
Business Acquisition [Line Items]          
Cash and cash equivalents $ 111.5        
Accounts receivable, net 270.5        
Inventories, net 855.7        
Prepaid expenses and other assets 56.9        
Property, plant and equipment 256.9        
Other assets 38.5        
Accounts payable (394.6)        
Accrued expenses (201.1)        
Deferred revenue (0.9)        
Long-term debt (110.9)     $ (110.9)  
Deferred taxes (214.3)        
Other liabilities (68.4)        
Total identifiable net assets 1,449.8        
Goodwill 486.9        
Total consideration 1,936.7        
MTD | Trade names          
Business Acquisition [Line Items]          
Intangible assets 390.0        
MTD | Customer relationships          
Business Acquisition [Line Items]          
Intangible assets $ 460.0        
Consolidated Aerospace Manufacturing (CAM)          
Business Acquisition [Line Items]          
Cash and cash equivalents   $ 35.8      
Accounts receivable, net   48.3      
Inventories, net   124.3      
Prepaid expenses and other assets   2.6      
Property, plant and equipment   127.9      
Accounts payable   (25.9)      
Accrued expenses   (26.9)      
Deferred taxes   (16.3)      
Other liabilities   (0.3)      
Total identifiable net assets   859.5      
Goodwill   632.3      
Contingent consideration   (155.3)      
Total consideration   1,336.5      
Consolidated Aerospace Manufacturing (CAM) | Trade names          
Business Acquisition [Line Items]          
Intangible assets   25.0      
Consolidated Aerospace Manufacturing (CAM) | Customer relationships          
Business Acquisition [Line Items]          
Intangible assets   $ 565.0