You said that the store made 60% profit.
You may mean that 60% of the selling price was profit.
If so, then the profit is (0.6 x $180) = $108 .
But you may mean that after the store bought the coat, marked it up,
and sold it for $180, they had made a 60% profit. That's different.
It means that the $180 is 60% more than what the store paid for it.
If that's true, then
(1.6) x (their cost) = $180
Divide each side by 1.6 : Their cost = ($180/1.6) = $112.50
Their profit = ($180 - $112.50) = $67.50
Check:
60% of $112.50 = (0.6 x $112.50) = $67.50
Total selling price= ($67.50) + ($112.50) = $180 yay!