Business Segments (Details4) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2023	Oct. 01, 2023	Jul. 02, 2023	Apr. 02, 2023	Jan. 01, 2023	Oct. 02, 2022	Jul. 03, 2022	Apr. 03, 2022	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Long-Lived Assets [Line Items]
Sales	$ 1,064.0	$ 1,025.6	$ 1,046.0	$ 1,038.1	$ 1,010.4	$ 1,032.0	$ 959.5	$ 834.1	$ 4,173.7	$ 3,836.0	$ 2,799.8
Assets	$ 4,985.1				$ 4,445.6				$ 4,985.1	$ 4,445.6	$ 4,285.2
Percent of total	100.00%				100.00%				100.00%	100.00%	100.00%
United States
Long-Lived Assets [Line Items]
Sales									$ 2,250.8	$ 2,218.6	$ 1,534.9
Assets	$ 4,463.7				$ 3,942.7				$ 4,463.7	$ 3,942.7	$ 3,587.0
Percent of total	90.00%				89.00%				90.00%	89.00%	84.00%
China
Long-Lived Assets [Line Items]
Sales									$ 333.3	$ 351.8	$ 370.4
Assets	$ 295.8				$ 321.1				$ 295.8	$ 321.1	$ 406.4
Percent of total	6.00%				7.00%				6.00%	7.00%	9.00%
UNITED KINGDOM
Long-Lived Assets [Line Items]
Sales									$ 259.1	$ 217.7	$ 153.9
Assets	$ 16.9				$ 13.4				$ 16.9	$ 13.4	$ 153.9
Percent of total	0.00%				0.00%				0.00%	0.00%	4.00%
Germany
Long-Lived Assets [Line Items]
Sales									$ 243.0	$ 200.9	$ 121.3
Other [Member]
Long-Lived Assets [Line Items]
Assets	$ 208.7				$ 168.4				$ 208.7	$ 168.4	$ 137.9
Percent of total	4.00%				4.00%				4.00%	4.00%	3.00%