Long-Term Debt - Components of Long-Term Debt (Details) - USD ($) $ in Millions	Aug. 26, 2023	Aug. 27, 2022
Debt Instrument [Line Items]
Long-term debt, gross	$ 600.0	$ 600.0
Convertible Notes unamortized interest discount	0.0	(45.3)
Debt issuance cost, net	(7.6)	(8.8)
Long-term debt, net	592.4	545.9
Fair value of long-term debt, excluding debt issuance costs	640.2	634.2
ABL Credit Facility
Debt Instrument [Line Items]
Long-term debt, gross	0.0	0.0
Senior Secured Notes
Debt Instrument [Line Items]
Long-term debt, gross	300.0	300.0
Convertible Notes
Debt Instrument [Line Items]
Long-term debt, gross	300.0	$ 300.0
Fair value of long-term debt, excluding debt issuance costs	$ 349.0