DISCONTINUED OPERATIONS - Additional Information (Detail) $ in Millions	3 Months Ended			12 Months Ended
	Apr. 01, 2017 USD ($)	Jan. 03, 2015 USD ($)	Sep. 28, 2013 Entity	Dec. 31, 2016 USD ($)	Jan. 02, 2016 USD ($)	Jan. 03, 2015 USD ($)
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Proceeds (payments) from sales of businesses, net of cash sold				$ 725.0
Accounts and notes receivable, net				35.3
Income (Loss) from Individually Significant Component Disposed of or Held-for-sale, Excluding Discontinued Operations, before Income Tax				43.9	$ 28.0	$ 31.6
Inventories, net				33.2
Property, Plant and Equipment, net				52.3
Goodwill and other intangibles, net				399.8
Other Assets				2.8
Total assets				523.4
Accounts payable and accrued expenses				38.0
Other liabilities				15.5
Liabilities held for sale				53.5	0.0
Small Business in Security Segment [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Proceeds (payments) from sales of businesses, net of cash sold				725.0
Other Businesses [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Number Of Entities Classified As Held for Sale | Entity			2
Security Spain & Italy [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Liabilities held for sale				$ 53.5	$ 0.0
Security Spain & Italy [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Impairment of Long-Lived Assets to be Disposed of		$ 60.7				$ 60.7
Subsequent Event [Member] | small business in Tools & Storage segment [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Proceeds (payments) from sales of businesses, net of cash sold	$ 25.0