Retirement Plans - Schedule of Funded Status of the Defined Benefit Pension (Details) - USD ($) $ in Millions	12 Months Ended
Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018
Change in plan assets:
Plan assets - beginning of fiscal year	$ 254.2
Employer contributions	10.6	$ 8.7	$ 9.0
Plan assets - end of fiscal year	301.1	254.2
Defined Benefit Plans
Change in benefit obligation:
Benefit obligation - beginning of fiscal year	287.4	225.7
Service cost	12.0	7.2	7.1
Interest cost	2.3	3.7	3.2
Plan participants’ contributions	15.8	12.2
Plan amendments	(13.9)	0.8
Plan settlements	0.0	(4.2)
Plan combinations	1.6	0.0
Actuarial (gain) loss	(2.1)	54.5
Foreign currency changes	20.0	(6.4)
Benefit and expense payments	(8.0)	(6.1)
Benefit obligation - end of fiscal year	315.1	287.4	225.7
Change in plan assets:
Plan assets - beginning of fiscal year	257.8	224.7
Employer contributions	10.6	8.7
Actual return on plan assets	6.1	28.5
Plan participants’ contributions	15.9	12.2
Plan settlements	0.0	(4.2)
Foreign currency changes	18.7	(6.2)
Benefit and expense payments	(8.0)	(5.9)
Plan assets - end of fiscal year	301.1	257.8	$ 224.7
Funded status	(14.0)	(29.6)
Amounts recognized within the consolidated balance sheet:
Other assets	5.8	1.5
Other long-term liabilities	(19.8)	(31.1)
Net amount recognized	$ (14.0)	$ (29.6)

Amount of increase (decrease) in plan assets of defined benefit plan from actual return (loss) determined by change in fair value of plan assets adjusted for contributions, benefit payments, and other expenses.

Name:	us-gaap_DefinedBenefitPlanActualReturnOnPlanAssets
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of gain (loss) from change in actuarial assumptions which (increases) decreases benefit obligation of defined benefit plan. Assumptions include, but are not limited to, interest, mortality, employee turnover, salary, and temporary deviation from substantive plan.