Hossein has a goal of accumulating $$1356$ at the time of his future retirement date. He has today placed $$775$ in a retirement account that will earn an interest rate of $5\%$ each year. How long will Hossein need to wait $($in years and in fractions of a year to at least $2$ decimal places$)$ before he can retire?

Years

Your answer must be in years and percent of a year using at least two decimal places. For example, the answer of $5$ and one$-$third years should be placed as $5\mathrm{.}33.$ Work your analysis using at least four decimal places of accuracy.