Stockholders' Equity and Stock-Based Compensation Stock Option Awards (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Options outstanding, Weighted-average remaining contractual life (in years)	3 years 3 months 18 days	4 years 3 months 18 days	5 years 2 months 12 days	6 years 2 months 12 days
Granted (in shares)	0	0	0
Proceeds from stock options exercised	$ 0.1	$ 0.1	$ 0.1
Share-based Payment Arrangement, Exercise of Option, Tax Benefit	1.2	3.7	4.5
Exercises in period, intrinsic value	9.5	21.7	29.5
Vested in period, fair value	33.0	$ 24.8	$ 19.9
Outstanding, intrinsic value	83.3
Exercisable, intrinsic value	83.3
Total compensation cost not yet recognized	$ 15.4
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition	1 year 3 months 18 days
Options exercisable, Weighted-average remaining contractual life (in years)	3 years 3 months 18 days
Nonqualified Stock Options Under Long Term Incentive Program [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting rights, percentage	33.33%
Expiration period	10 years