Retirement Plans - Schedule of Funded Status of the Defined Benefit Pension (Details) - USD ($) $ in Millions	12 Months Ended
Sep. 29, 2017	Sep. 30, 2016	Oct. 02, 2015
Change in plan assets:
Plan assets - beginning of fiscal year	$ 199.3
Plan assets - end of fiscal year	215.1	$ 199.3
Defined Benefit Plans
Change in benefit obligation:
Benefit obligation - beginning of fiscal year	238.3	206.9
Service cost	7.1	5.9	$ 5.6
Interest cost	2.4	4.0	4.4
Plan participants’ contributions	8.7	8.6
Plan amendments	(5.0)	(1.2)
Plan settlements	(6.9)	(4.0)
Net transfer in	0.5	0.0
Actuarial (gain) loss	(11.3)	31.6
Foreign currency changes	1.6	(8.8)
Benefit and expense payments	(4.7)	(4.7)
Benefit obligation - end of fiscal year	230.7	238.3	206.9
Change in plan assets:
Plan assets - beginning of fiscal year	199.3	186.9
Employer contributions	8.2	8.0	6.7
Actual return on plan assets	8.0	12.9
Plan participants’ contributions	8.7	8.6
Plan settlements	(6.9)	(4.0)
Foreign currency changes	2.0	(8.6)
Acquisitions / divestitures	0.5	0.0
Benefit and expense payments	(4.7)	(4.5)
Plan assets - end of fiscal year	215.1	199.3	$ 186.9
Funded status	(15.6)	(39.0)
Amounts recognized within the consolidated balance sheet:
Other assets	3.6	0.0
Other long-term liabilities	(19.2)	(39.0)
Net amount recognized	$ (15.6)	$ (39.0)

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.