Business Combinations - Narrative (Details) - USD ($) shares in Millions, $ in Millions		3 Months Ended				12 Months Ended
	Aug. 31, 2021	May 27, 2023	May 28, 2022	Nov. 27, 2021	Aug. 28, 2021	Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021	Apr. 28, 2023
Business Acquisition [Line Items]
Acquisition related costs						$ 7.5	$ 5.2	$ 0.7
Issuance of stock for acquisition							22.0
Lithionics Battery, LLC And Lithionics LLC
Business Acquisition [Line Items]
Percent of voting interest acquired									100.00%
Acquisition related costs		$ 3.1
Barletta
Business Acquisition [Line Items]
Percent of voting interest acquired	100.00%
Acquisition related costs				$ 2.4	$ 0.7
Purchase price	$ 286.3
Cash payments	240.1
Purchase price, common stock issued	$ 25.0
Discount percentage on purchase price	12.00%
Lockup restriction period	1 year
Purchase price, common stock issued after discount	$ 22.0
Earnout liability	$ 24.2					18.4	$ 39.8
Issuance of stock for acquisition		$ 22.0
Issuance of stock for acquisition (in shares)			0.2
Transaction costs				$ 3.1
Barletta | Dealer networks/customer relationships
Business Acquisition [Line Items]
Weighted-average useful life	12 years
Barletta | Backlog
Business Acquisition [Line Items]
Weighted-average useful life							10 months
Barletta | Other Current Liabilities
Business Acquisition [Line Items]
Earnout liability						$ 18.4	$ 21.3
Barletta | Other Noncurrent Liabilities
Business Acquisition [Line Items]
Earnout liability							$ 18.5
Barletta | Earnout Paid In Stock
Business Acquisition [Line Items]
Earnout amount	$ 50.0
Barletta | Earnout Paid In Cash
Business Acquisition [Line Items]
Earnout amount	$ 15.0