Respuesta :
[tex]p\%\cdot150=75\\\\ \frac{p}{100}\cdot150=75\\\\1,5\cdot p=75\\\\p= \frac{75}{1,5}\\\\\boxed{p=50}\\\\\\ So,\ the\ percentage\ is\ 50\%[/tex]
A percentage can be written as a value divided by 100, so assume that this percentage is [tex] \frac{x}{100} [/tex]. In most of these equations, "of" refers to multiplication, while "is" refers to equals. So you can rewrite the equation in terms of math, [tex] \frac{x}{100}*150=75 [/tex]. So first, you can simplify the [tex] \frac{150x}{100}[/tex] on the left side to [tex] \frac{3x}{2} [/tex] by dividing both the numerator and denominator by 50. So now multiply both sides by 2 and divide by 3. [tex]3x=75(2)=150[/tex] then [tex]3x=150, x=50[/tex]. So 50 percent of 150 is 75.