Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions	Jul. 02, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]
Gross	$ 294.9	$ 320.7
Accumulated Amortization	158.5	173.0
Net	136.5	147.6
Software
Finite-Lived Intangible Assets [Line Items]
Gross	200.5	196.8
Accumulated Amortization	113.7	102.1
Net	86.8	94.7
Trademarks and trade names
Finite-Lived Intangible Assets [Line Items]
Gross	14.3	14.3
Accumulated Amortization	5.3	4.6
Net	9.0	9.7
Customer lists and other
Finite-Lived Intangible Assets [Line Items]
Gross	80.2	109.6
Accumulated Amortization	39.5	66.4
Net	$ 40.7	$ 43.3