Pension Plans and Postretirement Benefits (Benefit Obligation) (Details) - USD ($) $ in Millions		12 Months Ended
		Jan. 03, 2016	Dec. 28, 2014	Dec. 29, 2013
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Defined benefit plan, settlements, benefit obligation		$ 10.5	$ 32.4
Postretirement Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year		12.8	11.9
Service cost - benefits earned during the year		0.0	0.0	$ 0.0
Interest cost on projected benefit obligation		0.5	0.6	0.6
Actuarial (gain) loss		(1.3)	1.6
Benefits paid		(1.3)	(1.3)
Benefit obligation - end of year		10.7	12.8	11.9
Pension Benefits Domestic Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year		878.4	768.9
Service cost - benefits earned during the year		12.4	11.7	14.4
Interest cost on projected benefit obligation		37.8	40.3	36.3
Actuarial (gain) loss		(33.8)	134.5
Benefits paid	[1]	(57.2)	(78.6)
Plan amendments	[2]	(17.0)	1.6
Other - including foreign currency		(0.2)	0.0
Benefit obligation - end of year		820.4	878.4	768.9
Accumulated benefit obligation - end of year		817.8	875.5
Pension Benefits Foreign Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation - beginning of year		61.1	60.3
Service cost - benefits earned during the year		0.9	0.8	0.9
Interest cost on projected benefit obligation		1.7	2.2	1.9
Actuarial (gain) loss		(0.9)	11.4
Benefits paid	[1]	(2.8)	(2.4)
Plan amendments	[2]	(0.2)	(0.1)
Other - including foreign currency		(3.2)	(11.1)
Benefit obligation - end of year		56.6	61.1	$ 60.3
Accumulated benefit obligation - end of year		$ 53.7	$ 59.2

[1] The 2015 and 2014 amounts include lump sum payments to certain participants of $10.5 million and $32.4 million, respectively.

[2] The $17.0 million amount reflects the impact of actions taken in 2015 whereby Teledyne amended the qualified pension plan to allow participant to elect a lump-sum payment form upon retirement.