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Income Taxes (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Income Taxes [Line Items]      
US federal statutory income tax rate 21.00% 21.00% 21.00%
Deemed repatriation tax, liability, current $ 56.3 $ 46.1  
Deemed repatriation tax, liability, noncurrent   57.0  
Income tax holiday, Singapore September 30, 2030    
Impact of income tax holiday, Singapore $ 6.6 $ 67.7 $ 66.0
Impact of income tax holiday on diluted earnings per share, Singapore (in dollars per share) $ 0.04 $ 0.42 $ 0.41
Valuation allowance, amount $ 186.8 $ 174.1  
Tax benefit to recognize if valuation allowance is reversed 186.8    
Future taxable income needed to utilize deferred tax assets 1,600.0    
Valuation allowance, increase (decrease), amount 12.7    
Total unrecognized tax benefits that would impact the effective tax rate 47.7    
Change in unrecognized tax benefits, amount of unrecorded benefit 5.5    
Unrecognized tax benefits, income tax penalties and interest expense 2.5 5.5 $ 2.9
Unrecognized tax benefits, income tax penalties and interest accrued 9.9 $ 11.7  
Adjustments to previous tax returns     $ 1.6
US federal and state      
Income Taxes [Line Items]      
Valuation allowance, amount 170.2    
Foreign      
Income Taxes [Line Items]      
Valuation allowance, amount $ 16.6    
United States      
Income Taxes [Line Items]      
Open tax year 2022    
California      
Income Taxes [Line Items]      
Open tax year 2008    
Canada      
Income Taxes [Line Items]      
Open tax year 2018    
Mexico      
Income Taxes [Line Items]      
Open tax year 2019    
Japan      
Income Taxes [Line Items]      
Open tax year 2018    
Singapore      
Income Taxes [Line Items]      
Open tax year 2020