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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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