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Income Taxes, Changes in Unrecognized Tax Benefits (Details)
$ in Millions
12 Months Ended
Oct. 03, 2025
USD ($)
Income Tax Disclosure [Abstract]  
Unrecognized tax benefits, beginning balance $ 62.3
Increases based on positions related to prior years 1.3
Decreases based on positions related to prior years (0.2)
Increases based on positions related to current year 8.7
Decreases based on positions related to current year (0.3)
Decreases based on expirations of statute of limitations (5.7)
Decreases based on settlements with taxing authorities (1.9)
Unrecognized tax benefits, ending balance $ 64.2