GOODWILL AND INTANGIBLE ASSETS - Aggregate Intangible Assets Amortization Expense by Segment (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2017	Dec. 31, 2016	Jan. 02, 2016
Finite-Lived Intangible Assets [Line Items]
Goodwill	$ 8,776.1	$ 6,694.0
Amortization of intangible Assets	163.8	144.4	$ 157.1
Construction and Do It Yourself
Finite-Lived Intangible Assets [Line Items]
Goodwill	5,189.7	3,247.8
Amortization of intangible Assets	68.0	36.8	39.0
Security Segment Business [Domain]
Finite-Lived Intangible Assets [Line Items]
Goodwill	2,132.0	2,007.0
Industrial Segment
Finite-Lived Intangible Assets [Line Items]
Goodwill	1,454.4	1,439.2
Amortization of intangible Assets	45.4	49.8	56.8
Securities Industry [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization of intangible Assets	$ 50.4	$ 57.8	$ 61.3