Ann obtains a fully amortizing $30$ year Fixed Rate Mortgage with monthly payments for $$4,500,000$ at $4\mathrm{.}38\%.$ What percent of Ann$$s $20$th payment goes to principal? Write your answer as a percent rounded to two decimal points without the $\%$ sign $($e$.$g$.$ if you get $5\mathrm{.}6499\%,$ write $5\mathrm{.}65).$