Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions	3 Months Ended				6 Months Ended
	Dec. 31, 2022	Oct. 01, 2022	Jan. 01, 2022	Oct. 02, 2021	Dec. 31, 2022	Jan. 01, 2022
Changes in accumulated other comprehensive income (loss) by component
Balance at the beginning of the period	$ 1,526.4	$ 1,875.0	$ 1,971.4	$ 1,972.8	$ 1,875.0	$ 1,972.8
Other comprehensive income (loss)	3.6	(0.6)	(2.3)	0.3	3.0	(2.0)
Balance at the end of the period	1,543.6	1,526.4	2,021.9	1,971.4	1,543.6	2,021.9
Total
Changes in accumulated other comprehensive income (loss) by component
Balance at the beginning of the period	(0.2)	0.4	8.5	8.2	0.4	8.2
Other comprehensive income (loss)	3.6	(0.6)	(2.3)	0.3
Balance at the end of the period	3.4	(0.2)	6.2	8.5	3.4	6.2
Foreign currency translation adjustments, net of tax
Changes in accumulated other comprehensive income (loss) by component
Balance at the beginning of the period	9.7	9.7	9.7	9.7	9.7	9.7
Other comprehensive income (loss)	0.0	0.0	0.0	0.0
Balance at the end of the period	9.7	9.7	9.7	9.7	9.7	9.7
Defined benefit obligations, net of tax
Changes in accumulated other comprehensive income (loss) by component
Balance at the beginning of the period	1.0	1.0	(1.4)	(1.4)	1.0	(1.4)
Other comprehensive income (loss)	0.0	0.0	0.0	0.0
Balance at the end of the period	1.0	1.0	(1.4)	(1.4)	1.0	(1.4)
Unrealized gain (loss) on available-for-sale securities, net of tax
Changes in accumulated other comprehensive income (loss) by component
Balance at the beginning of the period	(10.9)	(10.3)	0.2	(0.1)	(10.3)	(0.1)
Other comprehensive income (loss)	3.6	(0.6)	(2.3)	0.3
Balance at the end of the period	$ (7.3)	$ (10.9)	$ (2.1)	$ 0.2	$ (7.3)	$ (2.1)