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Product Warranties (Tables)
 9 Months Ended
May 27, 2023
Product Warranties Disclosures [Abstract]  
Schedule of Product Warranty Liability Changes in the product warranty liability are as follows:
Three Months EndedNine Months Ended
(in millions)May 27,
2023		May 28,
2022		May 27,
2023		May 28,
2022
Balance at beginning of period$113.7 $113.8 $127.9 $91.2 
Business acquisition(1)
1.4 — 1.4 4.7 
Provision17.6 37.1 51.7 94.3 
Claims paid(26.2)(23.6)(74.5)(62.9)
Balance at end of period$106.5 $127.3 $106.5 $127.3 
(1)    Refer to Note 2 in the Notes to Consolidated Financial Statements included in Item 1 of Part I of this Quarterly Report on Form 10-Q for more information on the acquisition of Lithionics on April 28, 2023 and the acquisition of Barletta on August 31, 2021.