Intangible Assets and Goodwill - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
Aug. 26, 2022	Aug. 27, 2021	Aug. 28, 2020
Finite Lived Intangible Assets [Line Items]
Intangible assets	$ 1.4	$ 65.7
Intangible assets estimated useful lives	17 years 9 months 18 days	6 years 8 months 12 days
Amortization of intangible assets	$ 23.8	$ 20.3	$ 13.7
Finite-lived intangible assets, expected amortization for 2023	21.8
Finite-lived intangible assets, expected amortization for 2024	17.8
Finite-lived intangible assets, expected amortization for 2025	15.3
Finite-lived intangible assets, expected amortization for 2026	8.5
Finite-lived intangible assets, expected amortization for 2027	7.7
Finite-lived intangible assets, expected amortization, thereafter	6.6
Memory Solutions
Finite Lived Intangible Assets [Line Items]
Goodwill, increase (decrease)	$ (0.2)	$ 0.3

Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

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The amount of identifiable intangible assets recognized as of the acquisition date.

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Amount of amortization for asset, excluding financial asset and goodwill, lacking physical substance with finite life expected to be recognized after fifth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in next fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in fifth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in fourth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in third fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in second fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Amount of increase (decrease) of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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