41 is 5.3 repeating percent of what number? Please list the steps only using pre-algebra.

41=16/3% of X

$$\\41=\frac{16}{3}\div 100 \;\; * \;\; X\\\\
41=\frac{16}{3}\times \frac{1}{100} \;\; * \;\; X\\\\
41=\frac{16}{300} \;\; * \;\; X\\\\
41\times\frac{300}{16} =\frac{16}{300}\times\frac{300}{16} \;\; * \;\; X\\\\
41\times\frac{300}{16} =\; X\\\\
X=41\times\frac{300}{16} \\\\$$

 

$${\mathtt{41}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{300}}}{{\mathtt{16}}}}\right) = {\frac{{\mathtt{3\,075}}}{{\mathtt{4}}}} = {\mathtt{768.75}}$$