Organization, Basis of Presentation, and Summary of Significant Accounting Policies - Components of Other Comprehensive Income (Details) - USD ($) $ in Thousands	3 Months Ended						9 Months Ended
	Feb. 27, 2022	Nov. 28, 2021	Aug. 29, 2021	Feb. 28, 2021	Nov. 29, 2020	Aug. 30, 2020	Feb. 27, 2022	Feb. 28, 2021
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Other comprehensive income, net of tax	$ 104	$ 176	$ 366	$ 387	$ 401	$ 304	$ 646	$ 1,092
AOCL
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning balance			$ (1,358)				(1,358)
Amounts reclassified from OCI							646
Other comprehensive income, net of tax							646
Ending balance	$ (712)						$ (712)