Leases - Supplemental Balance Sheet Information (Details) - USD ($) $ in Millions	Aug. 26, 2023	Aug. 27, 2022
Assets
Operating leases	$ 42.6	$ 41.1
Finance leases	8.1	6.7
Total lease assets	$ 50.7	$ 47.8
Finance lease, right-of-use asset, statement of financial position, extensible enumeration	Other long-term assets	Other long-term assets
Liabilities
Current: Operating leases	$ 5.9	$ 4.7
Current: Finance leases	1.3	1.0
Non-Current: Operating leases	42.0	40.4
Non-Current: Finance leases	7.7	6.7
Total lease liabilities	$ 56.9	$ 52.8
Operating lease, liability, current, statement of financial position, extensible enumeration	Other current liabilities	Other current liabilities
Finance lease, liability, current, statement of financial position, extensible enumeration	Other current liabilities	Other current liabilities
Finance lease, liability, noncurrent, statement of financial position, extensible enumeration	Other long-term liabilities	Other long-term liabilities