Equity Based Compensation - Summary of Activity Related to the 2.0x and 2.5x Units (Details) - Two Point Zero And Two Point Five Units [Member]	12 Months Ended
	Jan. 06, 2024 $ / shares shares
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Beginning balance | shares	72,579
Vested | shares	(44,642)
Forfeited | shares	(16,500)
Ending balance | shares	11,437
Weighted average grant date fair value, Beginning Balance | $ / shares	$ 17
Weighted average grant date fair value, vested | $ / shares	17
Weighted-Average Grant Date Fair Value, Forfeited | $ / shares	17
Weighted-Average Grant Date Fair Value, ending | $ / shares	$ 17