Derivatives - Fair Value of Derivative Financial Instruments (Details) - USD ($) $ in Millions	Dec. 28, 2019	Sep. 28, 2019
Interest Rate Swap
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Interest rate swap at fair value	$ 10.4
Derivative instruments designated as a cash flow hedge | Interest rate cap agreements
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Interest rate swap at fair value	10.4	$ 4.8
Derivative instruments designated as a cash flow hedge | Interest rate cap agreements | Prepaid expenses and other current assets
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Interest rate swap at fair value	0.0	0.1
Derivative instruments designated as a cash flow hedge | Interest Rate Swap | Other assets
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Asset, Fair Value, Gross Asset	10.4	4.7
Derivatives not designated as hedging instruments
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Asset, Fair Value, Gross Asset	0.8	2.9
Derivatives not designated as hedging instruments | Forward foreign currency contracts | Prepaid expenses and other current assets
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Interest rate swap at fair value	0.5	0.9
Derivatives not designated as hedging instruments | Forward foreign currency contracts | Accrued expenses
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Interest rate swap at fair value	1.2	0.1
Derivatives not designated as hedging instruments | Foreign currency option contracts | Prepaid expenses and other current assets
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Asset, Fair Value, Gross Asset	$ 0.3	$ 2.0