Accounting Policies (Disaggregation of Revenue) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Dec. 29, 2018	Sep. 29, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Disaggregation of Revenue [Line Items]
Revenue	$ 738.2	$ 772.3	$ 873.7	$ 853.8	$ 881.7	$ 925.4	$ 959.7	$ 878.8	$ 3,238.0	$ 3,645.6	$ 3,360.3
North America
Disaggregation of Revenue [Line Items]
Revenue									2,445.0	2,751.9
Asia
Disaggregation of Revenue [Line Items]
Revenue									342.3	401.1
Europe
Disaggregation of Revenue [Line Items]
Revenue									316.7	324.6
Rest-of-World
Disaggregation of Revenue [Line Items]
Revenue									134.0	168.0
Commercial Systems
Disaggregation of Revenue [Line Items]
Revenue	202.0	214.8	246.3	242.2	273.2	296.5	292.2	249.0	905.3	1,110.9	957.5
Commercial Systems | North America
Disaggregation of Revenue [Line Items]
Revenue									643.0	813.6
Commercial Systems | Asia
Disaggregation of Revenue [Line Items]
Revenue									107.2	142.7
Commercial Systems | Europe
Disaggregation of Revenue [Line Items]
Revenue									135.5	122.1
Commercial Systems | Rest-of-World
Disaggregation of Revenue [Line Items]
Revenue									19.6	32.5
Industrial Systems
Disaggregation of Revenue [Line Items]
Revenue	138.0	143.8	155.5	138.1	163.5	165.8	176.8	165.0	575.4	671.1	646.8
Industrial Systems | North America
Disaggregation of Revenue [Line Items]
Revenue									313.5	360.0
Industrial Systems | Asia
Disaggregation of Revenue [Line Items]
Revenue									167.0	194.8
Industrial Systems | Europe
Disaggregation of Revenue [Line Items]
Revenue									49.2	55.1
Industrial Systems | Rest-of-World
Disaggregation of Revenue [Line Items]
Revenue									45.7	61.2
Climate Solutions
Disaggregation of Revenue [Line Items]
Revenue	206.4	230.9	267.9	263.3	232.2	255.4	277.3	259.9	968.5	1,024.8	990.6
Climate Solutions | North America
Disaggregation of Revenue [Line Items]
Revenue									848.6	891.9
Climate Solutions | Asia
Disaggregation of Revenue [Line Items]
Revenue									37.7	39.5
Climate Solutions | Europe
Disaggregation of Revenue [Line Items]
Revenue									40.5	50.5
Climate Solutions | Rest-of-World
Disaggregation of Revenue [Line Items]
Revenue									41.7	42.9
Power Transmission Solutions
Disaggregation of Revenue [Line Items]
Revenue	$ 191.8	$ 182.8	$ 204.0	$ 210.2	$ 212.8	$ 207.7	$ 213.4	$ 204.9	788.8	838.8	$ 765.4
Power Transmission Solutions | North America
Disaggregation of Revenue [Line Items]
Revenue									639.9	686.4
Power Transmission Solutions | Asia
Disaggregation of Revenue [Line Items]
Revenue									30.4	24.1
Power Transmission Solutions | Europe
Disaggregation of Revenue [Line Items]
Revenue									91.5	96.9
Power Transmission Solutions | Rest-of-World
Disaggregation of Revenue [Line Items]
Revenue									$ 27.0	$ 31.4