RESTRUCTURING CHARGES - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments recognized	$ 83.0
Restructuring reserves	90.2	$ 147.8
Tools & Storage
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments recognized	40.0
Security
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments recognized	9.0
Industrial
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments recognized	29.0
Corporate Segment
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments recognized	5.0
Series of Individually Immaterial Business Acquisitions
Restructuring Cost and Reserve [Line Items]
Restructuring charges and asset impairments recognized	$ 83.0