Condensed Consolidated Statements of Income (Unaudited) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
Mar. 30, 2024	Mar. 25, 2023	Mar. 30, 2024	Mar. 25, 2023
Income Statement [Abstract]
Net revenue	$ 237.3	$ 326.6	$ 712.0	$ 1,127.8
Cost of revenue	127.0	154.3	385.6	513.1
Gross margin	110.3	172.3	326.4	614.7
Operating expenses:
Research and development	83.4	87.9	251.9	266.7
Selling, general, and administrative	40.5	41.7	122.5	128.8
Acquired intangibles amortization	4.0	8.5	13.4	26.9
Restructuring costs	(0.2)	0.0	9.1	0.0
Total operating expenses	127.7	138.1	396.9	422.4
Operating (loss) income	(17.4)	34.2	(70.5)	192.3
Interest and other expense, net	(5.9)	(7.0)	(17.4)	(22.0)
(Loss) income before provision for income taxes	(23.3)	27.2	(87.9)	170.3
Provision for income taxes	(5.2)	16.8	(5.2)	73.3
Net (loss) income	$ (18.1)	$ 10.4	$ (82.7)	$ 97.0
Net (loss) income per share:
Basic	$ (0.46)	$ 0.26	$ (2.12)	$ 2.44
Diluted	$ (0.46)	$ 0.26	$ (2.12)	$ 2.41
Shares used in computing net (loss) income :
Basic	39.3	39.4	39.1	39.7
Diluted	39.3	39.9	39.1	40.3

Amortization of intangible assets included in operating expense.

No definition available.

Name:	syna_AmortizationOfIntangibleAssetsIncludedInOperatingExpense
Namespace Prefix:	syna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The aggregate costs related to goods produced and sold and services rendered by an entity during the reporting period. This excludes costs incurred during the reporting period related to financial services rendered and other revenue generating activities.