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OTHER COSTS AND EXPENSES - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 01, 2022
Oct. 02, 2021
Jul. 03, 2021
Apr. 03, 2021
Jan. 02, 2021
Sep. 26, 2020
Jun. 27, 2020
Mar. 28, 2020
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Business Acquisition [Line Items]                      
Pre-tax acquisition charges $ 105.0 $ 33.0 $ 33.0 $ 24.0 $ 66.0 $ 78.0 $ 135.0 $ 47.0 $ 195.0 $ 326.0  
Environmental remediation costs, reserve $ 46.1       $ 46.7       46.1 46.7  
Research and development costs                 276.3 200.0 $ 240.8
Consolidated Aerospace Manufacturing (CAM)                      
Business Acquisition [Line Items]                      
Special termination benefits cost                   14.1  
Unamortized loss on cash flow swap termination                   19.6  
Release of contingent consideration liability                   55.3  
COVID-19                      
Business Acquisition [Line Items]                      
Restructuring costs                   185.0  
Other Expense                      
Business Acquisition [Line Items]                      
Pre-tax acquisition charges                 $ 24.1 $ 28.7 $ 27.6