184.37 is what percent of 380.72 - 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 380.72 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 380.72, so we can write it down as 100%=380.72.
4. We know, that x% equals 184.37 of the output value, so we can write it down as x%=184.37.
5. Now we have two simple equations:
1) 100%=380.72
2) x%=184.37
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%=380.72/184.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 184.37 is what percent of 380.72

100%/x%=380.72/184.37
(100/x)*x=(380.72/184.37)*x       - we multiply both sides of the equation by x
100=2.0649780333026*x       - we divide both sides of the equation by (2.0649780333026) to get x
100/2.0649780333026=x
48.426665265812=x
x=48.426665265812

now we have:
184.37 is 48.426665265812% of 380.72