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Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 29, 2024
Dec. 31, 2023
Jan. 01, 2023
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Beginning stockholders’ equity $ 9,221.2 $ 8,169.2 $ 7,622.0
Other comprehensive income (loss) before reclassifications (215.6) 94.4  
Amounts reclassified from AOCI 9.8 (2.0)  
Net other comprehensive income (loss) (205.8) 92.4 (296.5)
Ending stockholders' equity 9,549.4 9,221.2 8,169.2
Gain (loss) on cash flow hedges:      
Gain (loss) recognized in income on derivatives 3,235.2 3,196.1 3,128.3
Income tax impact 117.2 72.3 119.2
Net income (loss) attributable to Teledyne 819.2 885.7 788.6
Amortization of defined benefit pension and postretirement plan items:      
Income tax impact (117.2) (72.3) (119.2)
Amount reclassified from AOCI      
Gain (loss) on cash flow hedges:      
Net income (loss) attributable to Teledyne 14.2 5.9  
Accumulated Other Comprehensive Income (Loss)      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Beginning stockholders’ equity (634.1) (726.5) (430.0)
Net other comprehensive income (loss) (205.8) 92.4 (296.5)
Ending stockholders' equity (839.9) (634.1) (726.5)
Foreign Currency Translation      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Beginning stockholders’ equity (392.7) (472.3)  
Other comprehensive income (loss) before reclassifications (209.6) 79.6  
Amounts reclassified from AOCI 0.0 0.0  
Net other comprehensive income (loss) (209.6) 79.6  
Ending stockholders' equity (602.3) (392.7) (472.3)
Cash Flow Hedges      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Beginning stockholders’ equity 8.2 1.3  
Other comprehensive income (loss) before reclassifications (6.0) 14.8  
Amounts reclassified from AOCI (4.4) (7.9)  
Net other comprehensive income (loss) (10.4) 6.9  
Ending stockholders' equity (2.2) 8.2 1.3
Cash Flow Hedges | Amount reclassified from AOCI      
Gain (loss) on cash flow hedges:      
Gain (loss) recognized in income on derivatives (6.0) (10.6)  
Income tax impact 1.6 2.7  
Net income (loss) attributable to Teledyne (4.4) (7.9)  
Amortization of defined benefit pension and postretirement plan items:      
Income tax impact (1.6) (2.7)  
Pension and Postretirement Benefits      
Accumulated Other Comprehensive Income (Loss) [Roll Forward]      
Beginning stockholders’ equity (249.6) (255.5)  
Other comprehensive income (loss) before reclassifications 0.0 0.0  
Amounts reclassified from AOCI 14.2 5.9  
Net other comprehensive income (loss) 14.2 5.9  
Ending stockholders' equity (235.4) (249.6) $ (255.5)
Pension and Postretirement Benefits | Amount reclassified from AOCI      
Gain (loss) on cash flow hedges:      
Income tax impact 4.4 1.5  
Amortization of defined benefit pension and postretirement plan items:      
Total before tax 18.6 7.4  
Income tax impact (4.4) (1.5)  
Pension adjustments | Amount reclassified from AOCI      
Amortization of defined benefit pension and postretirement plan items:      
Total before tax 7.3 (1.0)  
Amortization of prior service cost | Amount reclassified from AOCI      
Amortization of defined benefit pension and postretirement plan items:      
Total before tax (0.4) (1.7)  
Amortization of net actuarial loss | Amount reclassified from AOCI      
Amortization of defined benefit pension and postretirement plan items:      
Total before tax $ 11.7 $ 10.1