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Employee Benefit Plans - Schedule of Assumptions Used (Details) - Pension Plan
12 Months Ended
Jun. 03, 2023
Mar. 04, 2023
May 28, 2022
Feb. 26, 2022
Nov. 27, 2021
Aug. 28, 2021
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Domestic                  
Weighted-average assumptions used in the determination of net periodic benefit cost:                  
Discount rate (as percent)           2.90% 5.17%    
Expected return on plan assets             6.80% 6.80% 5.10%
Weighted-average assumptions used in the determination of the projected benefit obligations:                  
Discount rate 5.17%   4.40%       5.10% 5.17% 4.40%
International                  
Weighted-average assumptions used in the determination of net periodic benefit cost:                  
Discount rate (as percent) 5.18% 4.40% 3.52% 3.00% 2.89%   5.34% 3.33% 1.99%
Compensation increase rate             3.00% 4.45% 3.20%
Expected return on plan assets             4.80% 4.80% 4.80%
Weighted-average assumptions used in the determination of the projected benefit obligations:                  
Discount rate 5.34%   3.33%       5.18% 5.34% 3.33%
Compensation increase rate 3.00%   4.45%       3.15% 3.00% 4.45%