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Debt - Carrying Amounts of the Liability and Equity Components (Details) - USD ($) $ in Millions	Jul. 02, 2022	Sep. 29, 2021	Jul. 03, 2021	May 29, 2018	Mar. 03, 2017
Debt Instrument [Line Items]
Short-term debt	$ 68.4		$ 456.6
Long-term debt	616.5		224.1
Senior Notes \| 3.75% Senior Notes
Debt Instrument [Line Items]
Interest rate on senior convertible notes		3.75%
Principal amount of notes	400.0		0.0
Unamortized Senior Convertible Notes debt issuance cost	(6.4)		0.0
Convertible Debt
Debt Instrument [Line Items]
Unamortized Senior Convertible Notes debt issuance cost	$ (1.0)		$ (0.9)
Convertible Debt \| 1.00% Senior Convertible Notes
Debt Instrument [Line Items]
Interest rate on senior convertible notes	1.00%		1.00%		1.00%
Short-term debt			$ 456.6
Principal amount of notes	$ 223.9		$ 0.0
Unamortized Senior Convertible Notes debt issuance cost	$ (1.0)
Convertible Debt \| 1.75% Senior Convertible Notes
Debt Instrument [Line Items]
Interest rate on senior convertible notes	1.75%		1.75%	1.75%
Principal amount of notes	$ 0.0		$ 225.0
Unamortized Senior Convertible Notes debt issuance cost	$ (0.1)
Convertible Debt \| 3.75% Senior Notes
Debt Instrument [Line Items]
Interest rate on senior convertible notes	3.75%		3.75%
Convertible Debt
Debt Instrument [Line Items]
Unamortized Senior Convertible Notes debt issuance cost	$ (0.1)		$ (3.4)
Other short-term debt	0.4		0.0
Convertible Debt \| 1.00% Senior Convertible Notes
Debt Instrument [Line Items]
Short-term debt	0.0		460.0
Convertible Debt \| 1.75% Senior Convertible Notes
Debt Instrument [Line Items]
Short-term debt	$ 68.1		$ 0.0