You own $50,000$ shares of common stock in a firm with $2\mathrm{.}5$ million total shares outstanding. The firm announces its plan to sell an additional $1$ million shares through a rights offering. Thus, each shareholder will be sent $0\mathrm{.}4$ rights for each share of stock owned. One right can then be exchanged for one share of common stock in the new issue. The market value of the common stock is $$35$ before the rights offering.

Assuming that you exercise all of your rights, what will be your share of ownership after the rights offer? $($round to $2$ decimals and do not include percent sign$)$