Restructuring Activities (Reconciliation Of Expenses By Type) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Restructuring Cost and Reserve [Line Items]
Restructuring costs	$ 46.8	$ 14.0	$ 26.6
Total restructuring and restructuring-related costs	46.8	14.0	26.6
Commercial Systems
Restructuring Cost and Reserve [Line Items]
Total restructuring and restructuring-related costs	7.3	1.9	6.3
Industrial Systems
Restructuring Cost and Reserve [Line Items]
Total restructuring and restructuring-related costs	1.6	1.9	8.7
Climate Solutions
Restructuring Cost and Reserve [Line Items]
Total restructuring and restructuring-related costs	12.1	0.8	3.7
Motion Control Solutions
Restructuring Cost and Reserve [Line Items]
Total restructuring and restructuring-related costs	25.8	9.4	7.9
Severance Expense
Restructuring Cost and Reserve [Line Items]
Restructuring costs	31.5	7.6	11.8
Facility Related Costs
Restructuring Cost and Reserve [Line Items]
Restructuring costs	14.6	4.5	14.8
Other Expenses
Restructuring Cost and Reserve [Line Items]
Restructuring costs	0.7	1.9	0.0
Cost of Sales
Restructuring Cost and Reserve [Line Items]
Restructuring costs	38.9	12.2	18.2
Cost of Sales | Severance Expense
Restructuring Cost and Reserve [Line Items]
Restructuring costs	25.1	6.4	6.2
Cost of Sales | Facility Related Costs
Restructuring Cost and Reserve [Line Items]
Restructuring costs	13.5	4.2	11.7
Cost of Sales | Other Expenses
Restructuring Cost and Reserve [Line Items]
Restructuring costs	0.3	1.6	0.3
Operating Expenses
Restructuring Cost and Reserve [Line Items]
Restructuring costs	7.9	1.8	8.4
Operating Expenses | Severance Expense
Restructuring Cost and Reserve [Line Items]
Restructuring costs	6.4	1.2	5.6
Operating Expenses | Facility Related Costs
Restructuring Cost and Reserve [Line Items]
Restructuring costs	1.1	0.3	3.1
Operating Expenses | Other Expenses
Restructuring Cost and Reserve [Line Items]
Restructuring costs	$ 0.4	$ 0.3	$ (0.3)