184.5 is what percent of 364 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 364 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 364, so we can write it down as 100%=364.
4. We know, that x% equals 184.5 of the output value, so we can write it down as x%=184.5.
5. Now we have two simple equations:
1) 100%=364
2) x%=184.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=364/184.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 184.5 is what percent of 364

100%/x%=364/184.5
(100/x)*x=(364/184.5)*x       - we multiply both sides of the equation by x
100=1.9728997289973*x       - we divide both sides of the equation by (1.9728997289973) to get x
100/1.9728997289973=x
50.686813186813=x
x=50.686813186813

now we have:
184.5 is 50.686813186813% of 364