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Equity (Details) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Stock Repurchase Period      
Repurchase of common stock $ 15.5us-gaap_StockRepurchasedDuringPeriodValue $ 15.8us-gaap_StockRepurchasedDuringPeriodValue $ 9.8us-gaap_StockRepurchasedDuringPeriodValue
Acquired Employee Equity Awards      
Stock Repurchase Period      
Repurchased shares 160,350us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
97,818us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
55,631us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
Repurchase of common stock 7.5us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
3.1us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
1.3us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
Repurchased shares, average price (in dollars per share) $ 46.48us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
$ 32.13us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
$ 23.49us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= pag_ShareRepurchaseEmployeeEquityAwardsMember
Share Repurchase Program      
Stock Repurchase Period      
Repurchased shares 175,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
410,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
350,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
Repurchase of common stock 8.0us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
12.7us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
8.5us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
Repurchased shares, average price (in dollars per share) $ 45.95us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
$ 30.93us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
$ 24.35us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember
Amount authorized to be repurchased $ 150.0us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= pag_BoardAuthorizedRepurchaseProgramMember