As of the 2008 season, there were 768 players that appeared in a game. 52.0 per cent of the NHL is Canadian born, followed by 19.9 per cent American, 6.9 per cent Czech, 5.9 per cent Swedish and 4.4 per cent Finnish. The NHL is down to only 3.5 per cent Russian-born players, a figure that doesn't include Ukranians, Latvians and Kazakhs.
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Without actually counting and calculating, I understand the European percentage is roughly 30 %.