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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 27, 2022
Mar. 28, 2021
Mar. 27, 2022
Mar. 28, 2021
Jun. 27, 2021
Operating Loss Carryforwards [Line Items]          
Income tax expense (benefit) $ 0.4 $ (3.0) $ 8.7 $ (4.0)  
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense [Abstract]          
Unrecognized tax benefits 7.4   7.4   $ 7.4
Estimated change in gross unrecognized tax benefits 0.7   0.7    
Foreign Tax Authority | Luxembourg Holding Company          
Operating Loss Carryforwards [Line Items]          
Income tax expense (benefit) 7.3        
Income tax expense generated from taxable income $ 129.1        
Valuation allowance increase (decrease)     $ (121.8)