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Fair Value of Financial Instruments - Additional Information (Details) - USD ($) | Sep. 30, 2022 | Dec. 31, 2021
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Fair Value Disclosures [Abstract] |  |
Transfer of assets between Level 1 to Level 2 | $ 0 | $ 0
Transfer of assets between Level 2 to Level 1 | 0 | 0
Transfer of liabilities between Level 1 to Level 2 | 0 | 0
Transfer of liabilities between Level 2 to Level 1 | $ 0 | $ 0

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- Definition Fair value assets level1 to level2 transfers amount1. + References No definition available. + Details
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Namespace Prefix: | prso_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Fair value assets level2 to level1 transfers amount1. + References No definition available. + Details
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Namespace Prefix: | prso_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Fair value liabilities level1 to level2 transfers amount1. + References No definition available. + Details
Name: | prso_FairValueLiabilitiesLevel1ToLevel2TransfersAmount1
Namespace Prefix: | prso_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Fair value liabilities level2 to level1 transfers amount1. + References No definition available. + Details
Name: | prso_FairValueLiabilitiesLevel2ToLevel1TransfersAmount1
Namespace Prefix: | prso_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration