Leases - Future Lease Commitments for Future Fiscal Years (Details) $ in Millions	Aug. 26, 2023 USD ($)
Operating Leases
Fiscal 2024	$ 8.3
Fiscal 2025	8.4
Fiscal 2026	8.1
Fiscal 2027	7.9
Fiscal 2028	7.8
Thereafter	19.4
Total future undiscounted lease payments	59.9
Less: Interest	12.0
Total reported lease liabilities	47.9
Related Party
Operating Leases
Fiscal 2024	1.8
Fiscal 2025	1.8
Fiscal 2026	1.8
Fiscal 2027	1.8
Fiscal 2028	1.8
Thereafter	2.4
Total future undiscounted lease payments	11.4
Less: Interest	2.0
Total reported lease liabilities	9.4
Nonrelated Party
Operating Leases
Fiscal 2024	6.5
Fiscal 2025	6.6
Fiscal 2026	6.3
Fiscal 2027	6.1
Fiscal 2028	6.0
Thereafter	17.0
Total future undiscounted lease payments	48.5
Less: Interest	10.0
Total reported lease liabilities	38.5
Financing Leases
Fiscal 2024	1.8
Fiscal 2025	1.9
Fiscal 2026	1.9
Fiscal 2027	1.9
Fiscal 2028	2.1
Thereafter	1.2
Total future undiscounted lease payments	10.8
Less: Interest	1.8
Total reported lease liabilities	$ 9.0