Taxes on Earnings - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018	Sep. 29, 2017
Income Tax [Line Items]
Tax Cuts and Jobs Act, income tax expense	$ 5.4	$ 214.0
Increase (decrease) in valuation allowance	38.2	(1.9)	$ (4.2)
Unrecognized tax benefits	42.9	49.8	$ 43.5	$ 42.7
Amount that would affect the effective tax rate	32.0
Accrued interest and penalties related to unrecognized tax benefits	6.8	7.5
Net benefit related to interest and penalties was included in taxes on earnings	0.7	$ 0.9
Domestic Tax Authority
Income Tax [Line Items]
Net operating loss carry forwards	28.2
Operating loss carryforwards, subject to expiration	15.6
Operating loss carryforwards, not subject to expiration	12.6
Net operating loss carryforwards subject to an annual limitation	0.8
State and Local Jurisdiction
Income Tax [Line Items]
Operating loss carryforwards, subject to expiration	10.3
Foreign Tax Authority
Income Tax [Line Items]
Net operating loss carry forwards	508.1
Operating loss carryforwards, not subject to expiration	445.8
Amount unavailable to the company under local loss utilization	$ 23.6