Income Taxes - Narrative (Details) - USD ($) $ in Thousands	3 Months Ended						12 Months Ended
	Feb. 27, 2022	Nov. 28, 2021	Aug. 29, 2021	Feb. 28, 2021	Nov. 29, 2020	Aug. 30, 2020	May 28, 2023	May 29, 2022	May 30, 2021	May 31, 2020
Tax Credit Carryforward [Line Items]
Effective tax rate for the fiscal year							(0.48%)	(25.19%)	21.32%
Income tax benefit	$ 3,886	$ (3,427)	$ 282	$ (923)	$ 804	$ 819	$ 0	$ 690	$ 1,432
Deferred tax asset valuation allowance							52,510	36,531	10,428
Unrecognized tax benefits							1,173	$ 1,041	$ 958	$ 836
Unrecognized tax benefits that would change the effect tax rate if recognized							1,000
Domestic Tax Authority
Tax Credit Carryforward [Line Items]
Net operating loss carryforwards							171,800
Tax credit carryforward amount							$ 3,300
Tax credit carryforward, period							20 years
Deferred tax asset valuation allowance							$ 41,100
State and Local Jurisdiction
Tax Credit Carryforward [Line Items]
Deferred tax asset valuation allowance							11,700
State and Local Jurisdiction | California
Tax Credit Carryforward [Line Items]
Net operating loss carryforwards							70,700
Tax credit carryforward amount							2,200
State and Local Jurisdiction | Indiana
Tax Credit Carryforward [Line Items]
Net operating loss carryforwards							33,700
State and Local Jurisdiction | Other States, Tax Board
Tax Credit Carryforward [Line Items]
Net operating loss carryforwards							33,100
State and Local Jurisdiction | Minnesota
Tax Credit Carryforward [Line Items]
Tax credit carryforward amount							$ 1,700
Tax credit carryforward, period							15 years