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Income Taxes - Uncertain Tax Positions (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2021
Nov. 01, 2020
Nov. 03, 2019
Reconciliation of the Total Amounts of Unrecognized Tax Benefits      
Beginning of year balance $ 33.3 $ 32.5 $ 36.3
Increases to tax positions taken during the current year 11.2 7.4 6.9
Increases to tax positions taken during prior years 1.4 3.1 0.8
Decreases to tax positions taken during prior years (5.8) (4.9) (7.1)
Decreases due to lapse of statute of limitations (3.7) (4.8) (4.4)
Settlements (1.5)    
End of year balance 34.9 33.3 32.5
Unrecognized tax benefits impacting effective tax rate if recognized 24.0 17.2  
Net tax benefit from tax positions settled 1.6    
Total amount of expense from interest and penalties   0.5 0.0
Total amount of income from interest and penalties 0.0 0.7 $ 5.3
Accrued interest and penalties on income tax $ 12.3 $ 14.6