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Inventories - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Inventory Disclosure [Abstract] |  |  |
Interest credits and advertising assistance | $ 69.4 | $ 49.1 | $ 53.3

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- Definition Floor plan interest credits and advertising assistance received from vendors, which reduce the cost of sales. + References No definition available. + Details
Name: | pag_FloorPlanInterestCreditsAndAdvertisingAssistance
Namespace Prefix: | pag_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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