Commitments and Contingencies - Narrative (Details) $ in Millions	3 Months Ended	12 Months Ended
	Feb. 23, 2019 USD ($)	Aug. 28, 2021 USD ($) site company	Aug. 29, 2020 USD ($)	Aug. 31, 2019 USD ($)	Aug. 26, 2017 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		$ 16.2	$ 15.2	$ 16.5
Estimated rate of inflation		3.00%
Annual proceeds		$ 0.3
Number of sites related to former operations | site		2
Balance in escrow account		$ 4.7
Number of insurance companies | company		3
Pre-tax non-cash impairment charge					$ 55.8
Gain (loss) related to litigation settlement	$ 21.1
One-time cash payment received for sale of CRM system	13.0
Hardware received at fair value	$ 0.8
Outstanding letters of credit		$ 67.5	$ 70.8
Non-cancellable purchase commitments for inventories, software, and services		65.5
Non-cancellable purchase commitments to be paid in less than one year		46.2
Non-cancellable purchase commitments to be paid in one to three year		$ 11.7
Minimum
Gain Contingencies [Line Items]
Risk-free interest rates utilized		1.31%
Maximum
Gain Contingencies [Line Items]
Risk-free interest rates utilized		1.91%