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Share-Based Compensation - Narrative (Details) $ / shares in Units, $ in Millions |  |  |  |  | 3 Months Ended | 6 Months Ended |
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Mar. 05, 2019 $ / shares shares | Jul. 29, 2018 USD ($) | Apr. 27, 2018 shares | Oct. 05, 2016 shares | Apr. 28, 2019 $ / shares shares | Apr. 29, 2018 USD ($) employee shares | Jul. 29, 2018 USD ($) | Jan. 27, 2019 shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Maximum number of shares subject to purchase under warrants | shares |  |  |  | 1,086,957 |  |  |  |
Warrants vested (in shares) | shares |  |  | 586,956 |  |  |  |  |
Warrant vesting costs | $ |  | $ 21.5 |  |  |  |  | $ 21.5 |
Warrant vesting costs due to acceleration | $ |  | $ 15.9 |  |  |  |  | $ 15.9 |
Number of securities called by warrants (in shares) | shares |  |  |  |  |  |  |  | 869,565
Number of shares affected (in shares) | shares |  |  |  |  |  | 159,000 |  |
Number of employees affected | employee |  |  |  |  |  | 8 |  |
Additional compensation cost | $ |  |  |  |  |  | $ 2.8 |  |
Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Equity awards granted | shares |  |  |  |  | 106,000 |  |  |
Description of award vesting rights |  |  |  |  | one-third of the awards vesting each performance period |  |  |
Performance Period One | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 1 year |  |  |
Grant date fair value per unit |  |  |  |  | $ 55.82 |  |  |
Performance Period Two | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 2 years |  |  |
Grant date fair value per unit |  |  |  |  | $ 59.36 |  |  |
Performance Period Three | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 3 years |  |  |
Grant date fair value per unit |  |  |  |  | $ 61.45 |  |  |
CEO | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Equity awards granted | shares |  |  |  |  | 160,000 |  |  |
CEO | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Equity awards granted | shares | 320,000 |  |  |  |  |  |  |
Vesting percentage, prorated | 70.00% |  |  |  |  |  |  |
CEO | Performance Period One | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 1 year |  |  |
Grant date fair value per unit |  |  |  |  | $ 55.82 |  |  |
CEO | Performance Period One | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent |  |  |  |  | 25.00% |  |  |
Grant date fair value per unit | $ 44.32 |  |  |  |  |  |  |
CEO | Performance Period Two | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 2 years |  |  |
Grant date fair value per unit |  |  |  |  | $ 59.36 |  |  |
CEO | Performance Period Two | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent |  |  |  |  | 25.00% |  |  |
Grant date fair value per unit | $ 33.19 |  |  |  |  |  |  |
CEO | Performance Period Three | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 3 years |  |  |
Grant date fair value per unit |  |  |  |  | $ 61.45 |  |  |
CEO | Performance Period Three | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent |  |  |  |  | 25.00% |  |  |
CEO | Performance Period Four | Market Performance-based RSUs |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Performance period |  |  |  |  | 4 years |  |  |
Grant date fair value per unit |  |  |  |  | $ 62.98 |  |  |
CEO | Performance Period Four | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent |  |  |  |  | 25.00% |  |  |
CEO | Average Share Price Equals To Or Exceeds $71.00 | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent | 30.00% |  |  |  |  |  |  |
CEO | Average Share Price Equals Or Exceeds $95.00 | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent | 70.00% |  |  |  |  |  |  |
CEO | Average Share Price Between $71.00 and $95.00 | Market Performance Restricted Stock Units |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Vesting percent | 30.00% |  |  |  |  |  |  |

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- Definition Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08.(i)(2)) -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e23780-122690 + Details
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- Definition Description of service or performance condition required to be met for earning right to award under share-based payment arrangement. Includes, but is not limited to, combination of market, performance or service condition. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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