GOODWILL AND INTANGIBLE ASSETS - Aggregate Intangible Assets Amortization Expense by Segment (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021		Dec. 28, 2019	Dec. 29, 2018
Finite-Lived Intangible Assets [Line Items]
Amortization of intangibles	$ 201.6	[1]	$ 187.4	$ 175.3
Tools & Storage
Finite-Lived Intangible Assets [Line Items]
Amortization of intangibles	61.5		73.1	75.5
Security
Finite-Lived Intangible Assets [Line Items]
Amortization of intangibles	43.5		44.7	49.1
Industrial
Finite-Lived Intangible Assets [Line Items]
Amortization of intangibles	$ 96.6		$ 69.6	$ 50.7

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