92 students represent 46%. To find how many students represent 100%, we can use the next proportion:
[tex]\frac{92\text{ students}}{x\text{ students}}=\frac{46\text{ \%}}{100\text{ \%}}[/tex]Solving for x,
[tex]\begin{gathered} 92\cdot100=46\cdot x \\ \frac{9200}{46}=x \\ 200=x \end{gathered}[/tex]200 students ate on Monday