Billed and Unbilled Receivables - Activity in the Allowance for Doubtful Accounts (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Accounts Receivable, Allowance for Credit Loss [Roll Forward]
Balance as of the beginning of the year	$ 7,952	$ 8,679
Provision for doubtful accounts	(60)	1,243	$ 4,311
Write-offs of uncollectible accounts	(2,205)	(1,970)
Balance as of the end of the year	$ 5,687	$ 7,952	$ 8,679