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Goodwill and Intangible Assets - Schedule of Changes in the Carrying Value of Goodwill (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Goodwill [Line Items]
Goodwill	$ 7,873.0	$ 7,986.7	$ 2,150.0
Current year acquisitions	78.5	5,905.5
Foreign currency changes and other	(192.2)	(68.8)
Digital Imaging
Goodwill [Line Items]
Goodwill	6,780.4	6,867.5	997.8
Current year acquisitions	78.5	5,905.5
Foreign currency changes and other	(165.6)	(35.8)
Instrumentation
Goodwill [Line Items]
Goodwill	913.2	935.9	968.8
Current year acquisitions	0.0	0.0
Foreign currency changes and other	(22.7)	(32.9)
Aerospace and Defense Electronics
Goodwill [Line Items]
Goodwill	161.8	165.7	165.8
Current year acquisitions	0.0	0.0
Foreign currency changes and other	(3.9)	(0.1)
Engineered Systems
Goodwill [Line Items]
Goodwill	17.6	17.6	$ 17.6
Current year acquisitions	0.0	0.0
Foreign currency changes and other	$ 0.0	$ 0.0

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