186.37 is what percent of 180.94 - 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 180.94 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 180.94, so we can write it down as 100%=180.94.
4. We know, that x% equals 186.37 of the output value, so we can write it down as x%=186.37.
5. Now we have two simple equations:
1) 100%=180.94
2) x%=186.37
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%=180.94/186.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 186.37 is what percent of 180.94

100%/x%=180.94/186.37
(100/x)*x=(180.94/186.37)*x       - we multiply both sides of the equation by x
100=0.97086440950797*x       - we divide both sides of the equation by (0.97086440950797) to get x
100/0.97086440950797=x
103.00099480491=x
x=103.00099480491

now we have:
186.37 is 103.00099480491% of 180.94