Accounting Policies (Inventories) (Details) $ in Millions	12 Months Ended
	Jan. 01, 2022 USD ($) inventory_pool	Jan. 02, 2021 USD ($)	Dec. 28, 2019 inventory_pool
Accounting Policies [Abstract]
Percentage of LIFO Inventory	48.50%	50.00%
Inventory pools | inventory_pool	4		3
Raw Material and Work in Process	43.40%	48.70%
Finished Goods and Purchased Parts	56.60%	51.30%
FIFO LIFO valuation difference | $	$ 85.8	$ 60.0