Commitments and Contingencies - Narrative (Details) $ in Millions	12 Months Ended
	Aug. 27, 2022 USD ($) Site Company	Aug. 28, 2021 USD ($)	Aug. 29, 2020 USD ($)
Gain Contingencies [Line Items]
Operating lease, existence of option to extend	true
Operating lease, existence of option to terminate	true
Total rent expense on all leases	$ 18.3	$ 16.2	$ 15.2
Estimated rate of inflation	3.00%
Annual proceeds	$ 0.3
Number of sites related to former operations | Site	2
Balance in escrow account	$ 4.8
Number of insurance companies | Company	3
Outstanding letters of credit	$ 60.8	$ 67.5
Non-cancellable purchase commitments for inventories, software, and services	56.5
Non-cancellable purchase commitments to be paid in less than one year	39.7
Non-cancellable purchase commitments to be paid in one to three year	8.5
Federal | Mexican Tax Authority | Fiscal 2016 Import Taxes
Gain Contingencies [Line Items]
Tax assessment issued	17.0
Tax assessment issued with surcharges, fines and penalties	67.7
Tax assessment issued amount net	$ 84.7
Minimum
Gain Contingencies [Line Items]
Risk-free interest rates utilized	3.00%
Maximum
Gain Contingencies [Line Items]
Risk-free interest rates utilized	3.40%