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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
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Earnings Per Share [Abstract]      
Net income attributable to Teledyne $ 788.6 $ 445.3 $ 401.9
Basic earnings per common share:      
Weighted average common shares outstanding (in shares) 46.8 43.2 36.7
Basic earnings per common share (in USD per share) $ 16.85 $ 10.31 $ 10.95
Diluted earnings per share:      
Weighted average common shares outstanding (in shares) 46.8 43.2 36.7
Effect of diluted securities (in shares) 0.9 1.1 1.2
Weighted average diluted common shares outstanding (in shares) 47.7 44.3 37.9
Diluted earnings per common share (in USD per share) $ 16.53 $ 10.05 $ 10.62