Revenue - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jun. 03, 2023	May 28, 2022	Jun. 03, 2023	May 28, 2022
Disaggregation of Revenue [Line Items]
Net sales	$ 1,054,464	$ 958,579	$ 2,973,841	$ 2,669,648
Revenue from Contract with Customer Benchmark | Customer Concentration Risk
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	100.00%	100.00%	100.00%	100.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Manufacturing Heavy
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	46.00%	49.00%	48.00%	49.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Manufacturing Light
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	20.00%	21.00%	20.00%	21.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Public Sector
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	11.00%	7.00%	9.00%	7.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Retail/Wholesale
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	7.00%	7.00%	7.00%	8.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Commercial Services
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	4.00%	4.00%	4.00%	4.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Other
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	12.00%	12.00%	12.00%	11.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | National Account Customers
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	37.00%	38.00%	38.00%	38.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Public Sector Customers
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	11.00%	7.00%	9.00%	7.00%
Revenue from Contract with Customer Benchmark | Customer Concentration Risk | Core and Other Customers
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	52.00%	55.00%	53.00%	55.00%
Revenue from Contract with Customer Benchmark | Geographic Concentration Risk
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	100.00%	100.00%	100.00%	100.00%
Revenue from Contract with Customer Benchmark | Geographic Concentration Risk | United States
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	95.00%	95.00%	95.00%	95.00%
Revenue from Contract with Customer Benchmark | Geographic Concentration Risk | Mexico
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	2.00%	2.00%	2.00%	2.00%
Revenue from Contract with Customer Benchmark | Geographic Concentration Risk | Canada
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	2.00%	1.00%	2.00%	1.00%
Revenue from Contract with Customer Benchmark | Geographic Concentration Risk | North America
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	99.00%	98.00%	99.00%	98.00%
Revenue from Contract with Customer Benchmark | Geographic Concentration Risk | Other foreign countries
Disaggregation of Revenue [Line Items]
Concentration risk, percentage	1.00%	2.00%	1.00%	2.00%