Revenue and Contract Balances - Narrative (Details) - USD ($) $ in Thousands	6 Months Ended
	Apr. 03, 2022	Mar. 28, 2021	Oct. 03, 2021
Disaggregation of Revenue [Line Items]
Contract liability revenue recognized during the period	$ 93,000	$ 90,000
Net favorable (unfavorable) revenue and operating income adjustments	5,000	$ 1,100
Liabilities for anticipated losses	11,600		$ 12,700
Estimated cost to complete the related contracts	$ 88,000		104,000
Period for billing and collecting unbilled receivables	12 months
Remaining unsatisfied performance obligation	$ 3,590,096
Remaining performance obligation, termination notice period one	30 days
Remaining performance obligation, termination notice period two	60 days
Remaining performance obligation, termination notice period three	90 days
RCM
Disaggregation of Revenue [Line Items]
Accounts receivable related to claims and requests for equitable adjustment on contracts	$ 11,000		$ 11,000