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Leases - Additional Information (Details) - USD ($) | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020 | Dec. 31, 2019
Lessee Lease Description [Line Items] |  |  |
Lease option to extend | five years |  |
Lease existence of option to extend | true |  |
Lease option to terminate | third year |  |
Lease existence of option to terminate | true |  |
Operating lease not yet commenced expense | $ 0 |  |
Selling, General and Administrative Expense |  |  |
Lessee Lease Description [Line Items] |  |  |
Rental expense | $ 73,100,000 | $ 81,800,000 | $ 82,100,000
Minimum |  |  |
Lessee Lease Description [Line Items] |  |  |
Lease term of contract | 1 year |  |
Maximum |  |  |
Lessee Lease Description [Line Items] |  |  |
Lease term of contract | 8 years |  |

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- Definition Lessee lease existence of option to extend. + References No definition available. + Details
Name: | psn_LesseeLeaseExistenceOfOptionToExtend
Namespace Prefix: | psn_
Data Type: | xbrli:booleanItemType
Balance Type: | na
Period Type: | duration

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- Definition Lessee lease existence of option to terminate. + References No definition available. + Details
Name: | psn_LesseeLeaseExistenceOfOptionToTerminate
Namespace Prefix: | psn_
Data Type: | xbrli:booleanItemType
Balance Type: | na
Period Type: | duration

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- Definition Lessee lease option to extend. + References No definition available. + Details
Name: | psn_LesseeLeaseOptionToExtend
Namespace Prefix: | psn_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Lessee lease option to terminate. + References No definition available. + Details
Name: | psn_LesseeLeaseOptionToTerminate
Namespace Prefix: | psn_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Lessee lease term of contract. + References No definition available. + Details
Name: | psn_LesseeLeaseTermOfContract
Namespace Prefix: | psn_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Operating lease not yet commenced expense. + References No definition available. + Details
Name: | psn_OperatingLeaseNotYetCommencedExpense
Namespace Prefix: | psn_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_LesseeLeaseDescriptionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Amount of operating lease expense. Excludes sublease income. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 45 -Paragraph 4 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123391704&loc=SL77918638-209977 + Details
Name: | us-gaap_OperatingLeaseExpense
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | us-gaap_IncomeStatementLocationAxis=us-gaap_SellingGeneralAndAdministrativeExpensesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |