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DIVESTITURES (Details) - USD ($) $ in Millions		1 Months Ended	3 Months Ended			6 Months Ended
	Jul. 05, 2022	Apr. 28, 2022	Oct. 01, 2022	Jul. 02, 2022	Jul. 03, 2021	Jul. 02, 2022	Jul. 03, 2021	Jul. 22, 2022	Jan. 01, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Pre-tax losses				$ 0.2	$ (2.6)	$ 0.2	$ (3.6)
Asset impairment charge				168.4	0.0	168.4	0.0
Earnings from discontinued operations before income taxes				6.4	32.4	28.6	63.5
Income taxes on discontinued operations				(2.6)	6.4	(0.2)	10.3
Cash and cash equivalents				19.7		19.7			$ 145.1
Total assets				3,415.2		3,415.2			3,505.4
Disposal Group, Held-for-sale, Not Discontinued Operations
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Pre-tax losses				(0.9)	(9.0)	(5.6)	(10.1)
Asset impairment charge				168.4
Mechanical Access Solutions | Discontinued Operations, Disposed of by sale | Subsequent Event
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Proceeds from sale of business	$ 922.8
Mechanical Access Solutions | Discontinued Operations, Held-for-sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Transition services		2 years
Mechanical Access Solutions | Discontinued Operations, Held-for-sale | Minimum | Forecast
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Pre-tax losses			$ 650.0
Mechanical Access Solutions | Discontinued Operations, Held-for-sale | Maximum | Forecast
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Pre-tax losses			600.0
Convergent Security Solutions | Discontinued Operations, Disposed of by sale | Subsequent Event
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Agreement for divesture of interest in consolidated subsidiaries								$ 3,200.0
Convergent Security Solutions | Discontinued Operations, Held-for-sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net Sales				489.8	502.0	978.1	978.3
Cost of sales				325.9	320.3	638.5	620.1
Selling, general and administrative				139.6	134.5	277.8	268.3
Other, net and restructuring charges				17.9	14.8	33.2	26.4
Earnings from discontinued operations before income taxes				6.4	32.4	28.6	63.5
Income taxes on discontinued operations				(2.6)	6.4	(0.2)	10.3
Net earnings from discontinued operations				9.0	26.0	28.8	53.2
Depreciation and amortization				0.0	17.3	0.4	34.8
Capital expenditures				2.3	1.9	6.3	6.8
Stock-based compensation				9.2	$ 1.9	18.5	$ 3.9
Cash and cash equivalents				19.7		19.7			145.1
Accounts and notes receivable, net				548.3		548.3			513.9
Inventories, net				209.4		209.4			169.4
Other current assets				73.6		73.6			41.2
Property, plant and equipment, net				198.2		198.2			84.3
Goodwill and other intangibles, net				2,231.6		2,231.6			2,270.2
Other assets				302.8		302.8			281.3
Valuation allowance				(168.4)		(168.4)			0.0
Total assets				3,415.2		3,415.2			3,505.4
Accounts payable and accrued expenses				483.5		483.5			460.4
Other long-term liabilities				137.1		137.1			137.4
Total liabilities				$ 620.6		$ 620.6			$ 597.8
Convergent Security Solutions | Discontinued Operations, Held-for-sale | Minimum | Forecast
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Pre-tax losses			450.0
Convergent Security Solutions | Discontinued Operations, Held-for-sale | Maximum | Forecast
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Pre-tax losses			$ 400.0

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