Yin Li deposited $$300\mathrm{.}00$ into a savings account that compounded interest quarterly. What nominal annual rate compounded quarterly was earned on the investment it the balance was $$579\mathrm{.}80$ in five years?

The nominal annual rate of interest is $\%$ per annum compounded quarterly.

$($Round the final answer to four decimal places as needed. Round all intermediate values to six decimal places as needed.$)$