$($Related to Checkpoint $5\mathrm{.}6)($Solving for $i)$ If you were offered $$1,808\mathrm{.}8014$ years from now in return for an investment of $$800$ currently, what annual rate of interest would you earn if you took the offer?

The annual rate of interest you would earn if you took the offer is $\%.($Round to the nearest whole percent.$)$