Income Taxes - Reconciliation of Unrecognized Tax Benefits (Details) - USD ($) $ in Thousands	12 Months Ended
Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Reconciliation of unrecognized tax benefits [Roll Forward]
Beginning balance	$ 53,619	$ 8,908	$ 12,899
Acquisition of RPS Group	0	6,012	0
Additions for current fiscal year tax positions	1,000	27,272	0
Additions for prior fiscal year tax positions	1,000	14,602	0
Reductions for prior fiscal year tax positions	0	(1,358)	(3,014)
Settlements	(14,179)	(1,817)	(977)
Ending balance	$ 41,440	$ 53,619	$ 8,908

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

No definition available.

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- Definition

Amount of unrecognized tax benefits.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 217
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
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-Paragraph 15A
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Reference 3: http://www.xbrl.org/2003/role/disclosureRef
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-Section 45
-Paragraph 10B
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482525/740-10-45-10B

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- Definition

Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities.

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- Definition

Amount of increase in unrecognized tax benefits resulting from acquisitions.

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Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return.

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Amount of increase in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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