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DIVESTITURES - Operating Results of Divested Businesses (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Gain on sale of discontinued operations	$ 1,197.4	$ 0.0	$ 0.0
Earnings from discontinued operations before income taxes	1,210.9	124.3	83.3
Income taxes on discontinued operations	318.5	(12.4)	3.4
Depreciation and amortization	0.4	62.8	66.6
Cash and cash equivalents included in Current assets held for sale	0.0	145.1
Total assets	0.0	3,505.4
Convergent Security Solutions | Discontinued Operations, Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net Sales	1,056.3	1,971.4	1,784.7
Cost of sales	687.5	1,258.7	1,134.8
Selling, general and administrative	308.0	529.2	510.4
Other, net and restructuring charges	47.3	59.2	56.2
Earnings from discontinued operations before income taxes	1,210.9	124.3	83.3
Income taxes on discontinued operations	318.5	(12.4)	3.4
Net earnings from discontinued operations	892.4	136.7	79.9
Depreciation and amortization	0.4	62.8	66.6
Capital expenditures	6.3	20.0	17.1
Stock-based compensation	17.5	7.9	6.1
Cash and cash equivalents included in Current assets held for sale		145.1
Accounts and notes receivable, net		513.9
Inventories, net		169.4
Other current assets		41.2
Property, plant and equipment, net		84.3
Goodwill and other intangibles, net		2,270.2
Other assets		281.3
Total assets		3,505.4
Accounts payable and accrued expenses		460.4
Other long-term liabilities		137.4
Total liabilities		597.8
Convergent Security Solutions | Discontinued Operations, Held-for-sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Gain on sale of discontinued operations	$ 1,197.4	$ 0.0	$ 0.0

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