GOODWILL AND OTHER INTANGIBLE ASSETS - Narrative (Details) - USD ($) $ in Millions	Sep. 26, 2020	Dec. 31, 2019
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Full year 2020	$ 13.5
2021	17.0
2022	14.2
2023	14.2
2024	14.2
2025	14.2
Finite-lived intangible assets, net	140.9	$ 98.3
Goodwill	490.3	$ 449.3
Cues
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Percentage of fair value in excess of carrying amount		10.00%
Goodwill	47.9
HVAC reportable segment
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Finite-lived intangible assets, net	25.2
Goodwill	134.5	$ 132.5
Detection and Measurement reportable segment
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Finite-lived intangible assets, net	115.7
Goodwill	209.5	170.5
Engineered Solutions reportable segment
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Goodwill	146.3	146.3
Trademarks
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Trademarks	161.6	$ 153.4
Trademarks \| HVAC reportable segment
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Trademarks	96.4
Trademarks \| Detection and Measurement reportable segment
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Trademarks	56.1
Trademarks \| Engineered Solutions reportable segment
Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract]
Trademarks	$ 9.1

Finite-Lived Intangible Asset, Expected Amortization, Current Fiscal Year

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in next fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in fifth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in fourth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in third fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in second fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of assets, excluding financial assets and goodwill, lacking physical substance and having a projected indefinite period of benefit.

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Percentage of fair value of reporting unit in excess of carrying amount.

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