Income Taxes - Reconciliation of Unrecognized Tax Benefits (Details) - USD ($) $ in Thousands	12 Months Ended
Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Reconciliation of unrecognized tax benefits [Roll Forward]
Beginning balance	$ 8,908	$ 12,899	$ 9,228
Acquisition of RPS Group	6,012	0	0
Additions for current fiscal year tax positions	27,272	0	2,171
Additions for prior fiscal year tax positions	14,602	0	1,500
Reductions for prior fiscal year tax positions	(1,358)	(3,014)	0
Settlements	(1,817)	(977)	0
Ending balance	$ 53,619	$ 8,908	$ 12,899

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/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 15A
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-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.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 15A
-Subparagraph (a)(1)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A

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- Definition

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

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 15A
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-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A

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- Definition

Amount of increase in unrecognized tax benefits resulting from acquisitions.

+ References

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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.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A

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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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