BUSINESS SEGMENTS - Changes in Goodwill (Detail) - USD ($) $ in Millions		3 Months Ended	12 Months Ended
		Jun. 29, 2018	Jan. 03, 2020	Dec. 28, 2018	Dec. 29, 2017
Goodwill [Roll Forward]
Goodwill, Beginning Balance			$ 832.0	$ 778.1
Acquisition related	[1]		0.2	73.2
Foreign currency translation and other			(3.5)	(19.3)
Goodwill, Ending Balance			828.7	832.0	$ 778.1
Acquisitions of businesses, net of cash acquired		$ (150.1)	0.0	(150.1)	0.0
Preliminary net working capital adjustment		4.6
Working capital acquired		32.6
Intangible assets acquired		$ 60.6
Acquisition costs				2.6
Sales from acquired entities				71.9
Network and Security Solutions [Member]
Goodwill [Roll Forward]
Goodwill, Beginning Balance			472.7	408.8
Acquisition related	[1]		0.2	73.2
Foreign currency translation and other			(9.3)	(9.3)
Goodwill, Ending Balance			463.6	472.7	408.8
Electrical and Electronic Solutions [Member]
Goodwill [Roll Forward]
Goodwill, Beginning Balance			180.9	181.7
Acquisition related	[1]		0.0	0.0
Foreign currency translation and other			0.4	(0.8)
Goodwill, Ending Balance			181.3	180.9	181.7
Utility Power Solutions [Member]
Goodwill [Roll Forward]
Goodwill, Beginning Balance			178.4	187.6
Acquisition related	[1]		0.0	0.0
Foreign currency translation and other			5.4	(9.2)
Goodwill, Ending Balance			$ 183.8	$ 178.4	$ 187.6

[1] In the second quarter of 2018, the Company completed the acquisition of security businesses in Australia and New Zealand for $150.1 million, including a preliminary net working capital adjustment of $4.6 million. The transaction was financed primarily from borrowings under the revolving lines of credit. The purchase price was preliminarily allocated to $32.6 million of working capital and $60.6 million of intangible assets during the year ended 2018. Acquisition costs were $2.6 million. The year ended 2018 results include approximately $71.9 million of sales from the acquired entities. The purchase price allocation was finalized in 2019.