Goodwill and Intangible Assets - Schedule of Carrying Value of Other Acquired Intangible Assets (Details) - USD ($) $ in Millions	Jul. 02, 2023	Jan. 01, 2023
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	$ 2,297.9	$ 2,288.5
Accumulated amortization	797.7	696.1
Net carrying amount	1,500.2	1,592.4
Total acquired intangible assets	3,147.4	3,136.7
Acquired intangible assets, net	2,349.7	2,440.6
Trademarks
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Trademarks	849.5	848.2
Proprietary technology
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	1,664.7	1,667.7
Accumulated amortization	576.3	497.4
Net carrying amount	1,088.4	1,170.3
Customer list/relationships
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	605.4	596.1
Accumulated amortization	198.6	177.0
Net carrying amount	406.8	419.1
Patents
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	0.6	0.6
Accumulated amortization	0.6	0.6
Net carrying amount	0.0	0.0
Non-compete agreements
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	0.9	0.9
Accumulated amortization	0.9	0.9
Net carrying amount	0.0	0.0
Trademarks
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	9.9	7.1
Accumulated amortization	5.1	4.4
Net carrying amount	4.8	2.7
Backlog
Schedule of Acquired Intangible Assets by Major Class [Line Items]
Gross carrying amount	16.4	16.1
Accumulated amortization	16.2	15.8
Net carrying amount	$ 0.2	$ 0.3