SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Additional Information (Detail) shares in Millions, $ in Millions	3 Months Ended	12 Months Ended
	Jan. 01, 2016	Dec. 29, 2017 USD ($) shares	Dec. 30, 2016 USD ($) shares	Jan. 01, 2016 USD ($) shares		Jan. 02, 2015
Summary Of Significant Accounting Policies [Line Items]
Fiscal Year Term		52 weeks	52 weeks	52 weeks
Cash and cash equivalent maturity period maximum		3 months
Allowance for doubtful accounts		$ 43.8	$ 43.6
Provision for doubtful accounts		10.0	20.1	$ 25.8
Inventories		1,238.7	1,178.3
Inventory valuation reserves		49.5	48.3
Property and equipment		154.3	140.3
Depreciation		28.2	27.9	23.8
Capitalized costs for computer software, net		61.6	57.7
Capitalized costs for computer software, amortization		5.5	3.7	2.8
Interest costs capitalized		0.3	0.7	1.2
Impairment of intangible assets		5.7	0.0	0.0
Average amortization of intangible assets		$ 30.9
Years of average amortization of intangible assets		5 years
Percent devaluation of Argentine Peso against the US dollar	0.40
Foreign exchange devaluations		$ 0.0	0.0	(3.6)
Foreign exchange		$ (3.4)	(10.8)	(14.9)
Rate of foreign currency denominated accounts not hedged		100.00%
Reserve for returns and credits provided to customers		$ 35.9	34.9
Advertising and promotion costs		10.6	12.4	13.2
Shipping and handling costs		$ 119.1	$ 113.9	$ 102.7
Percentage threshold for tax benefit recognized		50.00%
Stock options and units | shares		0.4	0.2	0.2
Network and Security Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Depreciation		$ 3.1	$ 3.2	$ 3.6
Electrical and Electronic Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Depreciation		$ 2.4	2.7	1.4	[1]
Improvement in margin of fair value in excess of carrying value		2.25%
Utility Power Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Depreciation		$ 3.9	$ 4.2	$ 1.2	[1]
Venezuela bolivar [Member]
Summary Of Significant Accounting Policies [Line Items]
Foreign currency exchange rate	200	3,345	673	200		52.0
Gross [Member]
Summary Of Significant Accounting Policies [Line Items]
Notional amount of foreign currency forward contracts		$ 246.3	$ 114.8
Net [Member]
Summary Of Significant Accounting Policies [Line Items]
Notional amount of foreign currency forward contracts		125.7	90.9
Equipment And Computer Software [Member]
Summary Of Significant Accounting Policies [Line Items]
Property and equipment		115.5	101.9
Building and Building Improvements [Member]
Summary Of Significant Accounting Policies [Line Items]
Property and equipment		36.6	36.0
Land [Member]
Summary Of Significant Accounting Policies [Line Items]
Property and equipment		2.2	2.4
Continuing Operations [Member]
Summary Of Significant Accounting Policies [Line Items]
Depreciation		$ 28.2	$ 27.9	$ 22.2
Minimum [Member] | Network and Security Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Minimum margin of fair value in excess of carrying value		10.00%
Minimum [Member] | Electrical and Electronic Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Minimum margin of fair value in excess of carrying value		10.00%
Minimum [Member] | Utility Power Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Minimum margin of fair value in excess of carrying value		10.00%
Minimum [Member] | Equipment And Computer Software [Member]
Summary Of Significant Accounting Policies [Line Items]
Property, Plant and Equipment, Useful Life		3 years
Minimum [Member] | Building and Building Improvements [Member]
Summary Of Significant Accounting Policies [Line Items]
Property, Plant and Equipment, Useful Life		7 years
Maximum [Member] | Equipment And Computer Software [Member]
Summary Of Significant Accounting Policies [Line Items]
Property, Plant and Equipment, Useful Life		20 years
Maximum [Member] | Building and Building Improvements [Member]
Summary Of Significant Accounting Policies [Line Items]
Property, Plant and Equipment, Useful Life		40 years
Power Solutions [Member]
Summary Of Significant Accounting Policies [Line Items]
Average amortization of intangible assets		$ 16.4

[1] At the beginning of the fourth quarter of 2015, the Company acquired Power Solutions which is reported in both the EES and UPS business segments. For further information, see Note 3. "Business Combinations".