Income Taxes - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021
Additions (reductions) to valuation allowance	$ 5.7	$ (2.8)	$ (5.9)
Increase (Decrease) to valuation allowance	6.4
Tax Expense (Benefit) of Undistributed Earnings of Foreign Subsidiaries	(14.5)
Uncertain tax benefits	14.0
Unrecognized tax benefits that would reduce company's effective tax rate if recognized	13.6	8.6
Total accrued penalties and net accrued interest with respect to income taxes	1.1	0.5	0.5
Expense recognized for accrued penalties and net accrued interest (less than)	0.6	0.3	0.1
Other liabilities (noncurrent)
Uncertain tax benefits	13.6
Deferred income taxes (noncurrent asset)
Uncertain tax benefits	0.4
Foreign Tax Authority
Net operating loss carryforwards, foreign	61.9
State Jurisdiction
Net operating loss carryforwards, state	184.2
APAC
Increase (Decrease) to valuation allowance	2.8
Tax reductions related to tax holiday	$ 25.9	$ 35.3	$ 34.4
Tax reductions related to tax holiday, basic (in dollars per share)	$ 0.94	$ 1.27	$ 1.20
Tax reductions related to tax holiday, diluted (in dollars per share)	$ 0.92	$ 1.24	$ 1.18
EMEA
Increase (Decrease) to valuation allowance	$ 2.4
AMER
Increase (Decrease) to valuation allowance	$ 1.2