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Net Income Per Share Attributable to Cooper-Standard Holdings Inc. - Additional Information (Details) - shares
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 71,000 0 1,000