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Goodwill and Other Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Mar. 28, 2020	Mar. 30, 2019	Dec. 31, 2020	Dec. 31, 2019
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	$ 915.4	$ 862.1	$ 915.4	$ 862.1
Accumulated impairment, balance at the beginning of the period	(466.1)	(467.7)	(466.1)	(467.7)
Goodwill, balance at the beginning of the period	449.3	394.4	449.3	394.4
Goodwill Resulting from Business Combinations			43.5	56.1
Impairments			0.0	0.0
Gross goodwill related to foreign currency translation and other			16.1	(2.8)
Accumulated impairments related to foreign currency translation and other			(9.0)	1.6
Goodwill related to foreign currency translation and other			7.1	(1.2)
Gross goodwill, end of the period			975.0	915.4
Accumulated impairment, balance at the end of the period			(475.1)	(466.1)
Goodwill, balance at the end of the period			499.9	449.3
HVAC reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	277.1	261.8	277.1	261.8
Accumulated impairment, balance at the beginning of the period	(144.6)	(144.4)	(144.6)	(144.4)
Goodwill, balance at the beginning of the period	132.5	117.4	132.5	117.4
Goodwill Resulting from Business Combinations			0.8	15.7
Impairments			0.0	0.0
Gross goodwill related to foreign currency translation and other			3.5	(0.4)
Accumulated impairments related to foreign currency translation and other			(0.2)	(0.2)
Goodwill related to foreign currency translation and other			3.3	(0.6)
Gross goodwill, end of the period			281.4	277.1
Accumulated impairment, balance at the end of the period			(144.8)	(144.6)
Goodwill, balance at the end of the period			136.6	132.5
Detection and Measurement reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	304.1	265.0	304.1	265.0
Accumulated impairment, balance at the beginning of the period	(133.6)	(134.3)	(133.6)	(134.3)
Goodwill, balance at the beginning of the period	170.5	130.7	170.5	130.7
Goodwill Resulting from Business Combinations			42.7	40.4
Impairments			0.0	0.0
Gross goodwill related to foreign currency translation and other			4.7	(1.3)
Accumulated impairments related to foreign currency translation and other			(0.9)	0.7
Goodwill related to foreign currency translation and other			3.8	(0.6)
Gross goodwill, end of the period			351.5	304.1
Accumulated impairment, balance at the end of the period			(134.5)	(133.6)
Goodwill, balance at the end of the period			217.0	170.5
Engineered Solutions reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	334.2	335.3	334.2	335.3
Accumulated impairment, balance at the beginning of the period	(187.9)	(189.0)	(187.9)	(189.0)
Goodwill, balance at the beginning of the period	146.3	146.3	146.3	146.3
Goodwill Resulting from Business Combinations			0.0	0.0
Impairments			0.0	0.0
Gross goodwill related to foreign currency translation and other			7.9	(1.1)
Accumulated impairments related to foreign currency translation and other			(7.9)	1.1
Goodwill related to foreign currency translation and other			0.0	0.0
Gross goodwill, end of the period			342.1	334.2
Accumulated impairment, balance at the end of the period			(195.8)	(187.9)
Goodwill, balance at the end of the period			146.3	146.3
Other
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	0.0	0.0	0.0	0.0
Accumulated impairment, balance at the beginning of the period	0.0	0.0	0.0	0.0
Goodwill, balance at the beginning of the period	0.0	0.0	0.0	0.0
Goodwill Resulting from Business Combinations			0.0	0.0
Impairments			0.0
Gross goodwill related to foreign currency translation and other			0.0	0.0
Accumulated impairments related to foreign currency translation and other			0.0	0.0
Goodwill related to foreign currency translation and other			0.0	0.0
Gross goodwill, end of the period			0.0	0.0
Accumulated impairment, balance at the end of the period			0.0	0.0
Goodwill, balance at the end of the period			0.0	0.0
ULC Robotics
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations			37.3
Sensors & Software Inc
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations			5.4
Patterson-Kelley, LLC
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations			$ 0.4	13.8
Sabik Marine
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations				41.2
SGS Refrigeration Inc.
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	$ 0.4			$ 1.9
Cues, Inc.
Changes in the carrying amount of goodwill
Goodwill, purch		$ 0.8

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