Goodwill and Intangible Assets - Goodwill (Details) $ in Thousands	3 Months Ended
Jan. 02, 2022 USD ($)
Goodwill
Balance at beginning of the period	$ 1,108,578
Goodwill reallocation	0
Acquisition activity	14,671
Translation and adjustments	(189)
Balance at end of the period	1,123,060
GSG
Goodwill
Balance at beginning of the period	538,433
Goodwill reallocation	(51,497)
Acquisition activity	14,671
Translation and adjustments	44
Balance at end of the period	501,651
CIG
Goodwill
Balance at beginning of the period	570,145
Goodwill reallocation	51,497
Acquisition activity	0
Translation and adjustments	(233)
Balance at end of the period	$ 621,409

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(10)(1))
-URI http://asc.fasb.org/extlink&oid=120398452&loc=d3e534808-122878

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 45
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Reference 3: http://www.xbrl.org/2003/role/exampleRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 852
-SubTopic 10
-Section 55
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-SubTopic 20
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- Definition

Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination.

+ References

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-Publisher FASB
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- Definition

Amount of foreign currency translation gain (loss) which increases (decreases) an asset representing future economic benefits from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

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

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Amount of transfers into (out of) an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
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