Earnings Per Share - Schedule of Computations of Basic and Diluted Earnings per Share (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Earnings Per Share [Abstract]
Net income attributable to Teledyne	$ 885.7	$ 788.6	$ 445.3
Basic earnings per common share:
Weighted average common shares outstanding (in shares)	47.1	46.8	43.2
Basic earnings per common share (in USD per share)	$ 18.80	$ 16.85	$ 10.31
Diluted earnings per share:
Weighted average common shares outstanding (in shares)	47.1	46.8	43.2
Effect of diluted securities (in shares)	0.8	0.9	1.1
Weighted average diluted common shares outstanding (in shares)	47.9	47.7	44.3
Diluted earnings per common share (in USD per share)	$ 18.49	$ 16.53	$ 10.05