Question

23 is what percent of 184?​

Answer 1

Answer: 23 is 12.5% of 184

Explanation:

let p be the percent value of 23/184

set up the equation using the info we have,

it says "23 of 184" or known otherwise 23/184

now we dont know the percent so we can do p/100

now that we have the info put together we can say that

23/184=p/100

now with the equation, we then cross multiply. multiplying the numerator with the denominator on the other side of the equationa and vis-versa. now with that, we have 23 x 100=184p.

turn this into 2300=184p

now divide 184 on both ends to only have p left and what it equals.

2300/184=184p/184

dividing 184 by 184p with cancel out leaving p.

now our end result

12.5=p

meaning that 23 is 12.5% of 184.

(sorry for this being long, this is my first time doing this :P)

Answer 2

if we take 184 as the 100%, what is 23 off of it in percentage?

`\begin{array}{ccll} amount&\%\\ \cline{1-2} 184 & 100\\ 23& x \end{array} \implies \cfrac{184}{23}=\cfrac{100}{x} \\\\\\ 8=\cfrac{100}{x}\implies 8x=100\implies x=\cfrac{100}{8}\implies x=\cfrac{25}{2}\implies x=12.5`