CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME - USD ($) $ in Millions		12 Months Ended
		Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Statement of Comprehensive Income [Abstract]
Net income (loss) including noncontrolling interest		$ 886.6	$ 788.9	$ 445.3
Other comprehensive income (loss):
Foreign exchange translation adjustment		79.6	(343.3)	(44.4)
Hedge activity, net of tax		6.9	4.7	(5.7)
Pension and postretirement benefit adjustments, net of tax		5.9	42.1	50.2
Other comprehensive income (loss) (a)	[1]	92.4	(296.5)	0.1
Comprehensive income (loss) including noncontrolling interest		979.0	492.4	445.4
Less: Comprehensive income (loss) attributable to noncontrolling interest		0.9	0.3	0.0
Comprehensive income (loss) attributable to Teledyne		$ 978.1	$ 492.1	$ 445.4

[1] Net of income tax expense of $3.8 million in 2023, income tax expense of $25.0 million for 2022 and income tax expense of $11.7 million for 2021.