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Income Taxes - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Tax Expense (Benefit) of Undistributed Earnings of Foreign Subsidiaries $ (10.3)   $ (10.5)
Additions (reductions) to valuation allowance (5.9) $ 4.8 1.9
Increase (Decrease) to valuation allowance (4.6)    
Uncertain tax benefits 4.6    
Unrecognized tax benefits that would reduce company's effective tax rate if recognized 3.9 1.3  
Total accrued penalties and net accrued interest with respect to income taxes 0.1 0.1 0.2
Expense recognized for accrued penalties and net accrued interest (less than) 0.1 0.1 0.1
Other liabilities (noncurrent)      
Uncertain tax benefits 3.9    
Deferred income taxes (noncurrent asset)      
Uncertain tax benefits 0.7    
Foreign Tax Authority      
Net operating loss carryforwards, foreign 71.3    
State Jurisdiction      
Net operating loss carryforwards, state 206.1    
APAC      
Tax reductions related to tax holiday $ 34.4 $ 28.3 $ 23.9
Tax reductions related to tax holiday, basic (in dollars per share) $ 1.20 $ 0.97 $ 0.79
Tax reductions related to tax holiday, diluted (in dollars per share) $ 1.18 $ 0.95 $ 0.77
EMEA      
Increase (Decrease) to valuation allowance $ (5.6)    
AMER      
Increase (Decrease) to valuation allowance $ 1.0