hello
to solve this question, let's assume the unknown to be x
[tex]\begin{gathered} 76\text{ \% of x days = 19 days} \\ \frac{19}{x}\times100=\text{76 \%} \\ \\ \frac{19}{x}=\frac{76}{100} \\ \text{cross multiply both sides and solve for x} \\ x\times76=19\times100 \\ 76x=1900 \\ \text{divide both sides by the coefficient of x } \\ \frac{76x}{76}=\frac{1900}{76} \\ x=25 \end{gathered}[/tex]from the calculations above, 76% of 25 days is 19 days