Bramble Inc. has completed the purchase of new Dell computers. The fair value of the equipment is $$906,565.$ The purchase agreement specifies an immediate down payment of $$220,000$ and semiannual payments of $$84,647$ beginning at the end of $6$ months for $5$ years. What is the interest rate, to the nearest percent, used in discounting this purchase transaction? $($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.25\%.)$

Interest rate

$\%$ semi$-$annually