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Stock-Based Compensation and Other Stock Plans - Stock Options Narrative (Details) - Stock Option - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Weighted average contractual term (in years) 10 years    
Weighted-average grant date fair value granted (in dollars per share) $ 26.19 $ 22.95 $ 29.98
Intrinsic value of stock exercised $ 76.1 $ 26.0 $ 29.9
Fair value of stock vested 12.5 $ 14.6 $ 15.7
Unrecognized compensation cost related to non-vested award $ 10.2    
Cost expected to be recognized over weighted-average period (in years) 1 year 4 months 24 days