Employee Benefit Plans (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Dec. 27, 2020
Postemployment Benefits [Abstract]
Employer matching contribution	100.00%
Maximum percentage of participant's compensation for employer contribution	4.00%
Participant's vesting percentage in company's contributions	100.00%
Amount contributed by the company and KAR	$ 6.7	$ 5.3	$ 4.8