Business Segments (Sales and Long-lived Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Net sales:
Net sales	$ 4,614.3	$ 3,086.2	$ 3,163.6
Long-lived assets:
Long-lived assets	11,975.2	3,326.2	3,249.3
United States
Net sales:
Net sales	2,932.1	2,078.7	2,179.6
Long-lived assets:
Long-lived assets	9,446.3	1,707.0	1,839.4
Canada
Net sales:
Net sales	458.1	333.7	301.0
Long-lived assets:
Long-lived assets	763.5	372.9	355.0
United Kingdom
Net sales:
Net sales	286.3	237.5	251.7
Long-lived assets:
Long-lived assets	622.4	539.5	492.2
Belgium
Net sales:
Net sales	227.3	10.7	10.2
The Netherlands
Net sales:
Net sales	127.0	105.5	134.2
The Netherlands
Long-lived assets:
Long-lived assets	463.7	505.1	367.1
All other countries
Net sales:
Net sales	583.5	320.1	286.9
Long-lived assets:
Long-lived assets	$ 679.3	$ 201.7	$ 195.6