Restructuring Activities (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015
Restructuring Reserve [Roll Forward]
Restructuring Reserve	$ 6.1	$ 3.9
Restructuring Expenses	8.9	13.2
Payments for Restructuring	13.7	11.0
Restructuring Reserve	1.3	6.1
Expected future restructuring charges	9.7
Commercial and Industrial Systems
Restructuring Reserve [Roll Forward]
Restructuring Expenses	6.8	1.6
Climate Solutions
Restructuring Reserve [Roll Forward]
Restructuring Expenses	1.5	11.4
Power Transmission Solutions
Restructuring Reserve [Roll Forward]
Restructuring Expenses	0.6	0.2
Cost of Sales [Member]
Restructuring Reserve [Roll Forward]
Restructuring Expenses	7.7	12.9
Operating Expense [Member]
Restructuring Reserve [Roll Forward]
Restructuring Expenses	1.2	0.3
Employee termination expenses
Restructuring Reserve [Roll Forward]
Restructuring Expenses	0.6	6.5
Expected future restructuring charges	3.2
Facility related costs
Restructuring Reserve [Roll Forward]
Restructuring Expenses	5.0	4.2
Expected future restructuring charges	6.5
Other expenses
Restructuring Reserve [Roll Forward]
Restructuring Expenses	$ 3.3	$ 2.5