Accounting Policies (Earnings Per Share Reconciliation) (Details) - shares shares in Millions	3 Months Ended								12 Months Ended
	Jan. 01, 2022	Oct. 02, 2021	Jul. 03, 2021	Apr. 03, 2021	Jan. 02, 2021	Sep. 26, 2020	Jun. 27, 2020	Mar. 28, 2020	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Accounting Policies [Abstract]
Shares excluded from the calculation of the effect of dilutive securities									0.1	0.4	0.4
Denominator for Basic Earnings Per Share	67.1	40.7	40.7	40.6	40.6	40.6	40.5	40.6	47.3	40.6	42.0
Effect of Dilutive Securities									0.4	0.2	0.2
Denominator for Diluted Earnings Per Share	67.7	41.0	41.0	41.0	40.9	40.8	40.7	40.8	47.7	40.8	42.2