Stock-Based Compensation and Shareholders' Equity - Textual (Details) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 29, 2016 USD ($) installment $ / shares shares	Oct. 31, 2015 USD ($) $ / shares shares	Nov. 01, 2014 USD ($) shares	Oct. 28, 2006 shares
Stock-Based Compensation (Textuals) [Abstract]
Stock-based compensation awards vesting period (years)	5 years
Percentage of options exercisable in annual installments on each of the first, second, third, fourth and fifth anniversaries	20.00%
Maximum contractual term of all option	10 years
Total number of common shares available for future grant	14,800,000.0
Shares reserved for future issuance under 2006 plan	29,200,000.0
Minimum maturity of traded options used to estimate volatility	1 year
Annual forfeiture rate	4.70%
Restricted stock units installment | installment	1
Restricted stock installment period	3 years
Total intrinsic value of options exercised | $	$ 46.6	$ 99.2	$ 130.6
Proceeds (cash) received from exercise of options | $	61.5	122.6	200.1
Total unrecognized compensation cost related to unvested share-based awards, before tax consideration | $	$ 112.3
Weighted-average period for recognition of compensation cost in years	1 year 146 days
Total grant-date fair value of vested stock options | $	$ 62.8	$ 65.6	$ 57.4
Preferred stock, shares authorized	471,934	471,934
Preferred stock, par value | $ / shares	$ 1	$ 1
Preferred stock, shares outstanding	0
Preferred stock, shares issued	0
Business Acquisition, Equity Interest Issued or Issuable, Number of Shares	700,000		700,000
GrandDateFairValueofRestrictedStockUnitsissuedinconnectionwithAcquisition | $ / shares	$ 48.20
Stock Options [Member]
Stock-Based Compensation (Textuals) [Abstract]
Stock-based compensation awards vesting period (years)	5 years
Restricted Stock Units (RSUs) [Member]
Stock-Based Compensation (Textuals) [Abstract]
Stock-based compensation awards vesting period (years)	3 years
2006 Stock Incentive Plan [Member]
Stock-Based Compensation (Textuals) [Abstract]
Maximum common stock granted				34,000,000
Share-based compensation arrangement by share-based payment award, terms of award	While the Company may grant to employees options that become exercisable at different times or within different periods, the Company has generally granted to employees options that vest over five years and become exercisable in annual installments of 20% on each of the first, second, third, fourth and fifth anniversaries of the date of grant.
Common Stock Repurchase Program [Member]
Stock-Based Compensation (Textuals) [Abstract]
Amount authorized to repurchase company common stock | $	$ 6,200.0
Repurchased common stock, shares	147,000,000
Repurchased common stock, value | $	$ 5,400.0
Repurchase of common stock, shares | $	$ 792.5