Income Taxes - Uncertain Tax Positions (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 28, 2018	Oct. 29, 2017	Oct. 30, 2016
Reconciliation of the Total Amounts of Unrecognized Tax Benefits
Beginning of year balance	$ 35.5	$ 36.5	$ 36.0
Increases to tax positions taken during the current year	9.1	7.6	9.7
Increases to tax positions taken during prior years	0.9	1.2	1.1
Decreases to tax positions taken during prior years	(4.6)	(5.9)	(7.3)
Decreases due to lapse of statute of limitations	(4.6)	(3.9)	(3.0)
End of year balance	36.3	35.5	36.5
Unrecognized tax benefits affecting effective tax rate if recognized	19.4	18.0
Total amount of expense from interest and penalties	1.8	0.6	$ 1.8
Accrued interest and penalties on income tax	$ 19.2	$ 17.4