Restructuring Activities (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Restructuring Reserve [Roll Forward]
Beginning Balance	$ 0.2	$ 1.2
Provision	21.6	7.7
Less: Payments	20.9	8.7
Ending Balance	0.9	0.2	$ 1.2
Restructuring Costs	21.6	7.6	13.4
Total Restructuring-Related Costs	0.0	0.1	0.7
Total Restructuring and Restructuring-Related Costs	21.6	7.7	14.1
Expected future restructuring charges	27.2
Commercial Systems
Restructuring Reserve [Roll Forward]
Total Restructuring and Restructuring-Related Costs	9.5	2.9	7.8
Industrial Systems
Restructuring Reserve [Roll Forward]
Total Restructuring and Restructuring-Related Costs	7.2	2.7	3.1
Climate Solutions
Restructuring Reserve [Roll Forward]
Total Restructuring and Restructuring-Related Costs	2.2	1.8	2.5
Power Transmission Solutions
Restructuring Reserve [Roll Forward]
Total Restructuring and Restructuring-Related Costs	2.7	0.3	0.7
Cost of Sales
Restructuring Reserve [Roll Forward]
Restructuring Costs	10.7	3.1	10.8
Total Restructuring-Related Costs	0.0	0.1	0.7
Total Restructuring and Restructuring-Related Costs	10.7	3.2	11.5
Operating Expenses
Restructuring Reserve [Roll Forward]
Restructuring Costs	10.9	4.5	2.6
Total Restructuring-Related Costs	0.0	0.0	0.0
Total Restructuring and Restructuring-Related Costs	10.9	4.5	2.6
Associate Termination Expenses
Restructuring Reserve [Roll Forward]
Restructuring Costs	12.2	0.3	4.3
Total Restructuring-Related Costs	0.0	0.1	0.7
Expected future restructuring charges	14.4
Associate Termination Expenses | Cost of Sales
Restructuring Reserve [Roll Forward]
Restructuring Costs	5.7	0.0	2.6
Total Restructuring-Related Costs	0.0	0.1	0.7
Associate Termination Expenses | Operating Expenses
Restructuring Reserve [Roll Forward]
Restructuring Costs	6.5	0.3	1.7
Total Restructuring-Related Costs	0.0	0.0	0.0
Facility Related Costs
Restructuring Reserve [Roll Forward]
Restructuring Costs	9.4	5.7	5.2
Expected future restructuring charges	12.8
Facility Related Costs | Cost of Sales
Restructuring Reserve [Roll Forward]
Restructuring Costs	5.0	2.3	4.3
Facility Related Costs | Operating Expenses
Restructuring Reserve [Roll Forward]
Restructuring Costs	4.4	3.4	0.9
Other Expenses
Restructuring Reserve [Roll Forward]
Restructuring Costs	0.0	1.6	3.9
Other Expenses | Cost of Sales
Restructuring Reserve [Roll Forward]
Restructuring Costs	0.0	0.8	3.9
Other Expenses | Operating Expenses
Restructuring Reserve [Roll Forward]
Restructuring Costs	$ 0.0	$ 0.8	$ 0.0