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Balance Sheet Account Details - Goodwill and Intangible Assets (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Finite-Lived Intangible Assets [Line Items]    
Gross assets $ 3,436.9 $ 282.4
Accumulated amortization (313.1) (183.7)
Net 3,123.8 98.7
Goodwill $ 2,476.8 337.0
Purchased technology    
Finite-Lived Intangible Assets [Line Items]    
Weighted-average useful life (years) 14 years 3 months 18 days  
Gross assets $ 997.6 112.7
Accumulated amortization (120.0) (78.2)
Net $ 877.6 34.5
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Weighted-average useful life (years) 19 years 2 months 12 days  
Gross assets $ 2,023.5 122.7
Accumulated amortization (148.9) (77.3)
Net $ 1,874.6 45.4
License agreements    
Finite-Lived Intangible Assets [Line Items]    
Weighted-average useful life (years) 6 years 4 months 24 days  
Gross assets $ 3.8 6.6
Accumulated amortization (3.7) (5.7)
Net $ 0.1 0.9
Patent and trademark costs    
Finite-Lived Intangible Assets [Line Items]    
Weighted-average useful life (years) 14 years 8 months 12 days  
Gross assets $ 400.5 28.7
Accumulated amortization (32.8) (15.7)
Net $ 367.7 13.0
Software development costs    
Finite-Lived Intangible Assets [Line Items]    
Weighted-average useful life (years) 4 years 8 months 12 days  
Gross assets $ 11.5 11.7
Accumulated amortization (7.7) (6.8)
Net $ 3.8 $ 4.9