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Restructuring - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2022
Jan. 03, 2021
Dec. 29, 2019
Restructuring Cost and Reserve [Line Items]      
Restructuring charges included in SG&A expenses   $ 12.8  
Professional & Industrial      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges included in SG&A expenses   6.0 $ 5.1
Science, Engineering & Technology      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges included in SG&A expenses   0.6 0.4
Selling, General and Administrative Expenses      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges included in SG&A expenses $ 4.0 $ 12.8 $ 5.5