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Commitments and Contingencies (Details) £ in Millions, $ in Millions	3 Months Ended			6 Months Ended
	Dec. 31, 2022 GBP (£)	Dec. 31, 2022 USD ($)	Jan. 01, 2022 USD ($)	Dec. 31, 2022 USD ($)	Jan. 01, 2022 USD ($)	Jul. 02, 2022 GBP (£)	Jul. 02, 2022 USD ($)	Jul. 02, 2016 GBP (£)	Jun. 30, 2016 GBP (£)
Loss Contingencies [Line Items]
Standby letters of credit		$ 11.9		$ 11.9
Changes in warranty reserve
Balance as of beginning of period		9.5	$ 10.3	10.6	$ 9.7
Provision for warranty		0.4	1.2	1.0	2.6
Utilization of reserve		(0.7)	(0.7)	(1.2)	(1.1)
Adjustments to pre-existing warranties (includes changes in estimates)		0.2	0.0	(1.0)	(0.4)
Balance as of the end of period		9.4	$ 10.8	9.4	$ 10.8
Performance bond
Loss Contingencies [Line Items]
Guarantee liabilities		0.9		$ 0.9
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