Goodwill and Other Intangibles Amortizable Intangibles (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Gross carrying value	$ 140.2	$ 133.2
Accumulated amortization	65.6	60.2
Amortizable intangibles, net	74.6	73.0
Customer Relationships [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value	119.9	114.5
Accumulated amortization	49.1	44.9
Amortizable intangibles, net	$ 70.8	$ 69.6
Finite-Lived Intangible Assets, Remaining Amortization Period	11 years	12 years
Other Intangible Assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value	$ 20.3	$ 18.7
Accumulated amortization	16.5	15.3
Amortizable intangibles, net	$ 3.8	$ 3.4
Finite-Lived Intangible Assets, Remaining Amortization Period	3 years	3 years