Income Taxes (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Sep. 27, 2024	Sep. 29, 2023	Sep. 30, 2022
Income Taxes [Line Items]
US federal statutory income tax rate	21.00%	21.00%	21.00%
Deemed repatriation tax, liability, current	$ 46.1	$ 34.9
Deemed repatriation tax, liability, noncurrent	$ 57.0	105.8
Income tax holiday, Singapore	September 30, 2030
Impact of income tax holiday, Singapore	$ 67.7	$ 66.0	$ 96.6
Impact of income tax holiday on diluted earnings per share, Singapore (in dollars per share)	$ 0.42	$ 0.41	$ 0.59
Valuation allowance, amount	$ 174.1	$ 164.2
Tax benefit to recognize if valuation allowance is reversed	174.1
Future taxable income needed to utilize deferred tax assets	1,200.0
Valuation allowance, increase (decrease), amount	9.9
Total unrecognized tax benefits that would impact the effective tax rate	47.3
Change in unrecognized tax benefits, amount of unrecorded benefit	5.7
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense	5.5	2.9	$ 1.2
Unrecognized tax benefits, income tax penalties and interest accrued	11.7	6.2
Adjustments to previous tax returns		$ 1.6
US federal and state
Income Taxes [Line Items]
Valuation allowance, amount	155.4
Foreign
Income Taxes [Line Items]
Valuation allowance, amount	$ 18.7
United States
Income Taxes [Line Items]
Open tax year	2021
California
Income Taxes [Line Items]
Open tax year	2004
Canada
Income Taxes [Line Items]
Open tax year	2017
Mexico
Income Taxes [Line Items]
Open tax year	2014
Japan
Income Taxes [Line Items]
Open tax year	2017
Singapore
Income Taxes [Line Items]
Open tax year	2017