Howard has just been hired and asked to complete his retirement benefits package. His company is willing to meet his end of the year contributions $($e$.$g$.$ if Howard decides to invest $5\%$ of his salary at the end of every year into his retirement fund, his employer contributes with additional $5\%,$ hence Howard's retirement plan is financed with an annual amount equal to $10\%$ of his salary$)$ and the retirement fund guarantees an annual yield of $4\%.$ For simplicity purposes assume that Howard will have the same annual salary of $146,521$ dollars for the next $35$ years and then retires $($assume that there is nothing else to consider, e$.$g$.$ taxes$).$ If Howard's goal is to have $$4$ million upon retirement, which PERCENTAGE of his income should he save every year? $($tip: the question is asking for Howard's contribution, not the combined contribution of Howard and his employer; note: round your answer to two decimal places and do not include spaces, percentage signs, or commas. If the answer is $1\mathrm{.}53\%,$ write $1\mathrm{.}53$ as your answer, not $0\mathrm{.}0153)$