In basketball, a field goal can be worth either two or three points. During his career, an NBA player has made $49.93\%$ of his two-point field goal attempts and $36.51\%$ of his three-point field goal attempts. Assuming the value of a missed attempt is $0,$ the average value of this player’s career field goal attempts is $1.0389$ points. What percent of his career field goal attempts have been three-point attempts? Express your answer as a percent to the nearest whole number.
This problem is part of a ongoing competition. For the integrity of the competition, please do not answer this question.
Yeah. You aren't supposed to post ongoing contest questions, broski2916