RESTRUCTURING CHARGES - Additional Information (Detail) - USD ($) $ in Millions		3 Months Ended		9 Months Ended
		Oct. 02, 2021	Sep. 26, 2020	Oct. 02, 2021	Sep. 26, 2020	Jan. 02, 2021
Restructuring Cost and Reserve [Line Items]
Restructuring charges (reversals)	[1]	$ 5.8	$ 42.8	$ 22.1	$ 74.6
Restructuring reserves		49.1		49.1		$ 90.2
Corporate
Restructuring Cost and Reserve [Line Items]
Restructuring charges (reversals)		2.0		4.0
Tools & Storage
Restructuring Cost and Reserve [Line Items]
Restructuring charges (reversals)		(1.0)		7.0
Industrial
Restructuring Cost and Reserve [Line Items]
Restructuring charges (reversals)				2.0
Security
Restructuring Cost and Reserve [Line Items]
Restructuring charges (reversals)		$ 5.0		$ 9.0

[1] See Note A, Significant Accounting Policies - Restatement, for discussion regarding the impacts of the Restatement.