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Acquisitions - Intangible Assets Acquired (Details) - USD ($) $ in Millions |  |  | 12 Months Ended
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Jun. 02, 2022 | Jun. 04, 2021 | Sep. 29, 2023 | Sep. 30, 2022
Trade name |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value |  |  | $ 14.5 | $ 56.3
Union Supply Group, Inc |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value | $ 125.3 |  |  |
Union Supply Group, Inc | Customer relationship assets |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value | $ 82.3 |  |  |
Weighted-Average Estimated Useful Life (in years) | 15 years |  |  |
Union Supply Group, Inc | Trade name |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value | $ 43.0 |  |  |
Weighted-Average Estimated Useful Life (in years) | 15 years |  |  |
Next Level Hospitality |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value |  | $ 182.5 |  |
Next Level Hospitality | Customer relationship assets |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value |  | $ 133.0 |  |
Weighted-Average Estimated Useful Life (in years) |  | 15 years |  |
Next Level Hospitality | Trade name |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Estimated Fair Value |  | $ 49.5 |  |
Weighted-Average Estimated Useful Life (in years) |  | 15 years |  |

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- Definition Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (a)(3) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-1 + Details
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 805 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 5 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479907/805-20-50-5 + Details
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- Definition Amount of increase in assets, excluding financial assets, lacking physical substance with a definite life, from an acquisition. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-1 + Details
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