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Commitments and Contingencies (Details) £ in Millions, $ in Millions	3 Months Ended				9 Months Ended
	Apr. 01, 2023 USD ($)	Oct. 01, 2022 GBP (£)	Oct. 01, 2022 USD ($)	Apr. 02, 2022 USD ($)	Apr. 01, 2023 USD ($)	Apr. 02, 2022 USD ($)	Jul. 02, 2022 GBP (£)	Jul. 02, 2022 USD ($)	Jul. 02, 2016 GBP (£)	Jun. 30, 2016 GBP (£)
Loss Contingencies [Line Items]
Standby letters of credit	$ 11.8				$ 11.8
Changes in warranty reserve
Balance as of beginning of period	9.4		$ 10.6	$ 10.8	10.6	$ 9.7
Provision for warranty	0.3			2.0	1.3	4.6
Utilization of reserve	(0.1)			(1.1)	(1.3)	(2.2)
Adjustments to pre-existing warranties (includes changes in estimates)	(0.2)			(1.0)	(1.2)	(1.4)
Balance as of the end of period	9.4			$ 10.7	9.4	$ 10.7
Performance bond
Loss Contingencies [Line Items]
Guarantee liabilities	$ 0.7				$ 0.7
Judicial ruling \| Case related to amendment of pension for foreign subsidiary
Loss Contingencies [Line Items]
Loss contingency accrual							£ 5.4	$ 6.5
Reverse of loss contingency accrual		£ 5.7	$ 6.7
Minimum \| Judicial ruling \| Case related to amendment of pension for foreign subsidiary
Loss Contingencies [Line Items]
Estimated liability (in pounds) \| £										£ 5.7
Loss contingency accrual \| £									£ 5.7
Maximum \| Judicial ruling \| Case related to amendment of pension for foreign subsidiary
Loss Contingencies [Line Items]
Estimated liability (in pounds) \| £										£ 8.4