Segment Information - Reconciliation (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 02, 2022	Oct. 03, 2021	Oct. 02, 2022	Oct. 03, 2021
Net sales:
Net sales	$ 1,363.6	$ 1,311.9	$ 4,040.4	$ 3,238.6
Net sales, percentage change	3.90%		24.80%
Operating income:
Operating income	$ 245.2	189.6	$ 698.2	429.2
Total segment operating profit, percentage change	29.30%		62.70%
Corporate
Operating income:
Operating income	$ (15.8)	(15.7)	$ (46.6)	(119.3)
Total segment operating profit, percentage change	0.60%		(60.90%)
Corporate | FLIR
Operating income:
Acquisition related costs		0.3		76.7
Inter-segment sales
Net sales:
Net sales	$ 4.8	5.4	$ 15.4	14.7
Digital Imaging
Net sales:
Net sales	777.9	760.6	2,304.2	1,603.4
Digital Imaging | Operating segments
Net sales:
Net sales	$ 777.9	760.6	$ 2,304.2	1,603.4
Net sales, percentage change	2.30%		43.70%
Operating income:
Operating income	$ 133.7	94.9	$ 367.3	231.5
Total segment operating profit, percentage change	40.90%		58.70%
Digital Imaging | Operating segments | FLIR
Operating income:
Revenue of acquiree since acquisition date			$ 620.2
Instrumentation
Net sales:
Net sales	$ 306.4	287.1	927.8	864.7
Instrumentation | Operating segments
Net sales:
Net sales	$ 306.4	287.1	$ 927.8	864.7
Net sales, percentage change	6.70%		7.30%
Operating income:
Operating income	$ 71.1	63.0	$ 216.3	187.0
Total segment operating profit, percentage change	12.90%		15.70%
Aerospace and Defense Electronics
Net sales:
Net sales	$ 169.5	161.8	$ 504.5	465.4
Aerospace and Defense Electronics | Operating segments
Net sales:
Net sales	$ 169.5	161.8	$ 504.5	465.4
Net sales, percentage change	4.80%		8.40%
Operating income:
Operating income	$ 44.3	35.9	$ 131.3	92.6
Total segment operating profit, percentage change	23.40%		41.80%
Engineered Systems
Net sales:
Net sales	$ 109.8	102.4	$ 303.9	305.1
Engineered Systems | Operating segments
Net sales:
Net sales	$ 109.8	102.4	$ 303.9	305.1
Net sales, percentage change	7.20%		(0.40%)
Operating income:
Operating income	$ 11.9	$ 11.5	$ 29.9	$ 37.4
Total segment operating profit, percentage change	3.50%		(20.10%)