In a certain medical survey, 45 percent of the people surveyed had the type ~$A$~ antigen in their blood and 3 percent had both the type ~$A$~antigen and the type ~$B$~ antigen. Which of the following is closest to the percent of those with the type ~$A$~ antigen who also had the type ~$B$~ antigen?

1.35%

6.67%

13.50%

15.00%

42.00%