Other Financial Information - Other Income, Net (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018
Other Financial Information [Abstract]
Gain on equity investments, net	$ 41.9	$ 23.8	$ 0.0
Foreign currency exchange gain (loss)	(5.5)	4.2	2.6
Other	2.3	0.3	1.6
Total other income, net	$ 38.7	$ 28.3	$ 4.2