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Commitments and Contingent Liabilities (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Commitments and Contingencies Disclosure [Abstract] |  |  |
Rent expense for land and facilities | $ 263.1 | $ 247.9 | $ 243.3
Aggregate rent currently guaranteed by the Company | 130.8 |  |
Letters of credit outstanding | 14.0 |  |
Bank guarantees | 18.3 |  |
Surety bonds posted | $ 24.7 |  |

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- Definition Bank Guarantees, Amount + References No definition available. + Details
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Namespace Prefix: | pag_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Operating Leases, Rent Expense For Land And Facilities + References No definition available. + Details
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Namespace Prefix: | pag_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Represents the aggregate rent currently guaranteed by entity under property lease guarantee. + References No definition available. + Details
Name: | pag_PropertyLeaseGuaranteeAmount
Namespace Prefix: | pag_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Surety bonds posted. + References No definition available. + Details
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Namespace Prefix: | pag_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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
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- Definition The total amount of the contingent obligation under letters of credit outstanding as of the reporting date. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant