Intangible Assets, Net - Summary of Intangible Assets (Details) - USD ($) $ in Millions	Jan. 02, 2021	Dec. 28, 2019
Not subject to amortization
Total intangible assets not subject to amortization	$ 455.5	$ 287.1
Subject to amortization
Intangibles subject to amortization Cost	907.1	614.4
Total intangible assets	1,362.6	901.5
Intangible assets - Accumulated Amortization	375.0	304.5
Total	532.1	309.9
Total intangible assets - Net	987.6	597.0
Customer relationships
Subject to amortization
Intangibles subject to amortization Cost	809.5	534.9
Intangible assets - Accumulated Amortization	324.3	267.5
Total	485.2	267.4
Patents
Subject to amortization
Intangibles subject to amortization Cost	19.2	15.2
Intangible assets - Accumulated Amortization	6.4	4.0
Total	12.8	11.2
Software
Subject to amortization
Intangibles subject to amortization Cost	62.5	49.4
Intangible assets - Accumulated Amortization	38.2	28.0
Total	24.3	21.4
Other
Subject to amortization
Intangibles subject to amortization Cost	15.9	14.9
Intangible assets - Accumulated Amortization	6.1	5.0
Total	9.8	9.9
Trademarks
Not subject to amortization
Total intangible assets not subject to amortization	$ 455.5	$ 287.1