Fair Value, Carrying Values and Estimated Fair Values of Debt Instruments (Details) - USD ($) $ in Millions	Jan. 02, 2026	Oct. 03, 2025
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Total debt under Senior Notes	$ 996.2	$ 995.8
Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Total debt, fair value	947.4	944.5
2026 Notes
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Senior Notes, current	499.6	499.4
2026 Notes | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Short-term debt, fair value	494.4	491.1
2031 Notes
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Senior Notes, noncurrent	496.6	496.4
2031 Notes | Level 2
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Long-term debt, fair value	$ 453.0	$ 453.4