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Goodwill and Intangible Assets - Schedule of Carrying Value of Other Acquired Intangible Assets (Details) - USD ($)
$ in Millions
Jan. 01, 2023
Jan. 02, 2022
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount $ 2,288.5 $ 2,406.2
Accumulated amortization 696.1 521.7
Net carrying amount 1,592.4 1,884.5
Total acquired intangible assets, gross carrying amount 3,136.7 3,263.3
Acquired intangible assets, net 2,440.6 2,741.6
Trademarks    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Indefinite-lived intangible assets (excluding goodwill) 848.2 857.1
Proprietary technology    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 1,667.7 1,767.7
Accumulated amortization 497.4 358.2
Net carrying amount 1,170.3 1,409.5
Customer list/relationships    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 596.1 616.2
Accumulated amortization 177.0 141.8
Net carrying amount 419.1 474.4
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 7.1 4.5
Accumulated amortization 4.4 3.9
Net carrying amount 2.7 0.6
Backlog    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 16.1 16.3
Accumulated amortization 15.8 16.3
Net carrying amount $ 0.3 $ 0.0