Business Segments - Geographic Information, Based on Shipping Destination, Related to Revenue from External Customers (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Revenue from External Customer [Line Items]
Revenues	$ 2,414.9	$ 1,791.1	$ 2,273.7
United States [Member]
Revenue from External Customer [Line Items]
Revenues	1,573.9	1,234.2	1,507.9
Europe [Member]
Revenue from External Customer [Line Items]
Revenues	460.3	279.8	343.1
Asia Pacific [Member]
Revenue from External Customer [Line Items]
Revenues	161.6	120.3	193.7
CANADA
Revenue from External Customer [Line Items]
Revenues	116.9	88.9	117.9
Latin America [Member]
Revenue from External Customer [Line Items]
Revenues	102.2	67.9	111.1
Foreign [Member]
Revenue from External Customer [Line Items]
Revenues	$ 841.0	$ 556.9	$ 765.8