If Phil had won 3 games more than did Charlie, and Phil won 12 games, then Charlie won 12-3=<<12-3=9>>9 games.
If Charlie had won 2 games fewer than Dana, and Charlie won 9 games, then Dana won 9+2=<<9+2=11>>11 games.
If Perry had won five more games than did Dana, and Dana won 11 games, then Perry won 11+5=<<11+5=16>>16 games.
Thus, Perry won 16-12=<<16-12=4>>4 more games than did Phil.
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