CONSOLIDATED STATEMENTS OF INCOME - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Income Statement [Abstract]
Net sales	$ 5,635.5	$ 5,458.6	$ 4,614.3
Costs and expenses
Cost of sales	3,196.1	3,128.3	2,772.9
Selling, general and administrative	1,208.3	1,156.6	1,067.8
Acquired intangible asset amortization	196.7	201.7	149.3
Total costs and expenses	4,601.1	4,486.6	3,990.0
Operating income (loss)	1,034.4	972.0	624.3
Interest and debt expense, net	(77.3)	(89.3)	(90.8)
Non-service retirement benefit income	12.4	11.4	11.2
Gain (loss) on debt extinguishment	1.6	10.6	(13.4)
Other income (expense), net	(12.2)	3.4	2.5
Income (loss) before income taxes	958.9	908.1	533.8
Provision (benefit) for income taxes	72.3	119.2	88.5
Net income (loss) including noncontrolling interest	886.6	788.9	445.3
Less: Net income (loss) attributable to noncontrolling interest	0.9	0.3	0.0
Net income (loss) attributable to Teledyne	$ 885.7	$ 788.6	$ 445.3
Basic earnings per common share (in USD per share)	$ 18.80	$ 16.85	$ 10.31
Weighted average common shares outstanding (in shares)	47.1	46.8	43.2
Diluted earnings per common share (in USD per share)	$ 18.49	$ 16.53	$ 10.05
Weighted average diluted common shares outstanding (in shares)	47.9	47.7	44.3