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Revenue from Contracts with Customers - Schedule of Contract Assets (Details) - USD ($) | 12 Months Ended |
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Oct. 01, 2022 | Oct. 02, 2021 | Oct. 03, 2020
Revenue from Contract with Customer [Abstract] |  |  |
Contract assets | $ 138,540,000 | $ 115,283,000 | $ 113,946,000
Revenue recognized | 3,180,108,000 | 3,048,875,000 |
Amounts collected or invoiced | $ (3,156,851,000) | $ (3,047,538,000) |

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- Definition Amount, after allowance for credit loss, of right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time, classified as current. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 45 -Paragraph 3 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130533-203044 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045 + Details
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Period Type: | instant

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- Definition Amount of decrease in right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time from transfer to receivable due to right to consideration becoming unconditional. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 10 -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130551-203045 + Details
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Period Type: | duration

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- Definition Amount of revenue recognized from performance obligation satisfied or partially satisfied in previous reporting periods. Includes, but is not limited to, change in transaction price. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 12A -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL108322424-203045 + Details
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