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Balance Sheet Components - Schedule of Other Non Current Assets (Details) - USD ($) $ in Millions | Dec. 28, 2024 | Jun. 29, 2024
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Payables and Accruals [Abstract] |  |
Prepayment of intangible assets | $ 42.5 | $ 42.5
Right-of-use assets | 45.8 | 46.8
Other | 43.0 | 47.5
Other non-current assets | $ 131.3 | $ 136.8

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- Definition Other Noncurrent Assets + References No definition available. + Details
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Namespace Prefix: | syna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Prepayment Of Intangible Assets + References No definition available. + Details
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Balance Type: | debit
Period Type: | instant

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- Definition Right-Of-Use Assets, Noncurrent + References No definition available. + Details
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Namespace Prefix: | syna_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Amount of noncurrent assets classified as other. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(17)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1 + Details
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Period Type: | instant

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- References No definition available. + Details
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