Camile has $6$ programmers who do all of the coding. On average, a project arrives once every $5\mathrm{.}8$ hours. Each project is assigned to one programmer and that programmer takes on average $18\mathrm{.}0$ hours to complete each project.

Camile wants to know what fraction $($as a percent$)$ of the time is each of her programmers busy coding?

Note: Round to nearest integer.