A gold Australian Kangaroo coin contains 1 troy ounce of gold and has a face value of 100 Australian dollars. The intrinsic value of a coin depends solely on the current price of the precious metal within the coin, and can differ from the face value of the coin itself. At a certain time, the price of gold was 1775.30 U.S. dollars per troy ounce and an Australian dollar was equal to 1.016 U.S. dollars. What was the ratio of the intrinsic value to the face value of the Australian Kangaroo coin?
Give your answer to the nearest 0.001.
Kudos for the solution and explanation