CONSOLIDATED STATEMENTS OF INCOME - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Income Statement [Abstract]
Net sales	$ 5,458.6	$ 4,614.3	$ 3,086.2
Costs and expenses
Cost of sales	3,128.3	2,772.9	1,905.3
Selling, general and administrative	1,156.6	1,067.8	662.0
Acquired intangible asset amortization	201.7	149.3	38.8
Total costs and expenses	4,486.6	3,990.0	2,606.1
Operating income (loss)	972.0	624.3	480.1
Interest and debt expense, net	(89.3)	(90.8)	(15.3)
Non-service retirement benefit income	11.4	11.2	12.1
Gain (loss) on debt extinguishment	10.6	(13.4)	0.0
Other income (expense), net	3.4	2.5	(7.2)
Income (loss) before income taxes	908.1	533.8	469.7
Provision (benefit) for income taxes	119.2	88.5	67.8
Net income (loss) including noncontrolling interest	788.9	445.3	401.9
Less: Net income (loss) attributable to noncontrolling interest	0.3	0.0	0.0
Net income (loss) attributable to Teledyne	$ 788.6	$ 445.3	$ 401.9
Basic earnings per common share (in USD per share)	$ 16.85	$ 10.31	$ 10.95
Weighted average common shares outstanding (in shares)	46.8	43.2	36.7
Diluted earnings per common share (in USD per share)	$ 16.53	$ 10.05	$ 10.62
Weighted average diluted common shares outstanding (in shares)	47.7	44.3	37.9