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Goodwill and Other Intangible Assets - Details of Amortization Expense (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Apr. 02, 2022
Apr. 03, 2021
Apr. 02, 2022
Apr. 03, 2021
Finite-Lived Intangible Assets        
Total amortization of intangibles $ 21.4 $ 22.0 $ 64.3 $ 63.6
Cost of sales        
Finite-Lived Intangible Assets        
Total amortization of intangibles 15.6 15.8 47.3 45.8
Selling, general and administrative        
Finite-Lived Intangible Assets        
Total amortization of intangibles $ 5.8 $ 6.2 $ 17.0 $ 17.8