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Summary of Significant Accounting Policies (Product Warranty and Replacement Costs) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2022
Jan. 03, 2021
Dec. 29, 2019
Accounting Policies [Abstract]      
Period for product warranty 1 year    
Movement in Standard Product Warranty Accrual [Roll Forward]      
Balance at beginning of year $ 22.4 $ 24.8 $ 21.0
Product warranty expense 11.9 3.3 13.1
Deductions (10.1) (8.2) (14.2)
Acquisitions 25.3 2.5 4.9
Balance at end of year $ 49.5 $ 22.4 $ 24.8