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Supplemental Cash Flow Information (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Cash paid for:      
Interest $ 9.2 $ 7.6 $ 7.5
Income taxes 31.1 26.4 31.4
Changes in accrued expenses due to:      
Purchases of property and equipment 1.4 0.2 6.4
Purchases of capitalized software $ (1.4) $ 0.0 $ 0.2