Sam Jones has an engineering firm. He wants to build a new headquarters building. The building will cost $$1,500,000.$ He will put down $$450,000$ and have a bank finance the remainder at prime plus $2$ percent. The prime lending rate is currently $8\mathrm{.}5$ percent. Sam will withdraw the money for the down payment from his mutual fund account where he has earned $13$ percent for the last ten years. What percentage of the building is being equity financed?