Net Income Per Share - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 01, 2023	Jan. 02, 2022	Dec. 27, 2020	Aug. 02, 2021
Earnings Per Share [Abstract]
Stock repurchase program, authorized amount				$ 400.0
Stock repurchased (in shares)	751,285	677,854
Purchase of treasury stock	$ 27.2	$ 34.0	$ 0.0
Stock repurchase program	$ 338.8

Number of shares that have been repurchased during the period and have not been retired and are not held in treasury. Some state laws may govern the circumstances under which an entity may acquire its own stock and prescribe the accounting treatment therefore. This element is used when state law does not recognize treasury stock.

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