Dexter and his friend shared the cost of a meal equally. The meal cost $160 before GST. They had to pay an additional 7 percent GST. How much did each person pay for the meal?

The total cost including GST is $160 + 7% * $160 = $<<160+7*.01*160=171.20>>171.20.

Each person paid $171.20 / 2 = $<<171.20/2=85.60>>85.60. Answer: \boxed{85.60}.