A company with $200$ million shares outstanding and no debt plans to issue permanent debt with a face value of $$1,500$ million in order to repurchase some of its shares. When this plan is announced, the company's share price jumps from $$11\mathrm{.}41$ to $$13\mathrm{.}86.$ What is the company's tax rate, if we assume that its savings from debt tax shields are as risky as its debt? $($Express your answer as a fraction rounded to four decimal places. For example, if your answer is $34\mathrm{.}56\%,$ you should enter $0\mathrm{.}3456$ as your answer.$)$