Respuesta :
So,
Let "x" be the amount that we want to find.
We know that 15% of x equals 22.5. We could write this as the following equation:
[tex]15\%(x)=22.5[/tex]15% is the same to write 15/100. So,
[tex]\frac{15x}{100}=22.5[/tex]Now, let's solve this equation for x:
[tex]\begin{gathered} 15x=22.5\cdot100 \\ 15x=2250 \\ x=\frac{2250}{15}=150 \end{gathered}[/tex]We can represent a percentage always dividing the number by 100:
For example,
[tex]\begin{gathered} 50\%=\frac{50}{100} \\ \\ 45\%=\frac{45}{100} \\ \\ 20\%=\frac{20}{100} \\ \\ \text{and so on} \end{gathered}[/tex]In this problem, we need to represent 15%, so that's 15/100. The only thing we did until then, was to rewrite the percentage. Then, just state the equation:
If 15% of x = 22.5, we should find x, so, we multiply by cross and obtain that x=150.
