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DIVESTITURES - Additional Information (Details) $ in Millions					3 Months Ended		12 Months Ended
	Aug. 19, 2022 USD ($)	Jul. 22, 2022 USD ($)	Jul. 05, 2022 USD ($)	Nov. 02, 2020 USD ($)	Jul. 02, 2022 USD ($)	Apr. 03, 2021 USD ($)	Dec. 31, 2022 USD ($) country	Jan. 01, 2022 USD ($)	Jan. 02, 2021 USD ($)	Dec. 31, 2021 USD ($)	Nov. 30, 2020 country
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses							$ (8.4)	$ (0.6)	$ (13.5)
Asset impairment charge							168.4	0.0	0.0
Number of countries | country											5
Commercial Electronic Security
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses									4.2
Discontinued Operations, Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses							$ (2.7)	$ (16.8)	9.1
Asset impairment charge					$ 168.4
Oil And Gas Business | Discontinued Operations, Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses	$ (8.6)
Convergent Security Solutions | Discontinued Operations, Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses		$ 588.0
Agreement for divesture of interest in consolidated subsidiaries										$ 3,100.0
Mechanical Access Solutions | Discontinued Operations, Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses			$ 609.0
Proceeds from sales of businesses, net of cash sold			$ 922.2
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, term							2 years
Small Business in Security Segment
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses									(13.5)
Proceeds from sales of businesses, net of cash sold				$ 60.9
Number of countries | country							5
Small Business in Security Segment | Oil & Gas Product Line
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses									(17.7)
Small Business in Security Segment | Commercial Electronic Security
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses						$ (1.0)
Other Divestures
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Loss on sales of businesses									$ 4.1

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