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Income Taxes - Uncertain Tax Positions (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 29, 2017
Oct. 30, 2016
Nov. 01, 2015
Reconciliation of the Total Amounts of Unrecognized Tax Benefits      
Beginning of year balance $ 36.5 $ 36.0 $ 36.2
Increases to tax positions taken during the current year 7.6 9.7 11.1
Increases to tax positions taken during prior years 1.2 1.1 1.6
Decreases to tax positions taken during prior years (5.9) (7.3) (7.8)
Decreases due to lapse of statute of limitations (3.9) (3.0) (3.9)
Settlements     (1.1)
Foreign exchange     (0.1)
End of year balance 35.5 36.5 36.0
Unrecognized tax benefits affecting effective tax rate if recognized 18.0 19.0  
Total amount of expense from interest and penalties 0.6 1.8 $ 1.4
Accrued interest and penalties on income tax $ 17.4 $ 16.8