Derek decides to buy a new car. The dealership offers him a choice of paying $$554\mathrm{.}00$ per month for $5$ years $($with the first payment due next month$)$ or paying some $$28,064\mathrm{.}00$ today. He can borrow money from his bank to buy the car. What interest rate makes him indifferent between the two options?

Answer format: Percentage Round to: $3$ decimal places $($Example: $9\mathrm{.}243\%,\%$ sign required. Will accept decimal format rounded to $5$ decimal places $($ex: $0\mathrm{.}09243))$