185.55 is what percent of 316.696 - 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 316.696 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 316.696, so we can write it down as 100%=316.696.
4. We know, that x% equals 185.55 of the output value, so we can write it down as x%=185.55.
5. Now we have two simple equations:
1) 100%=316.696
2) x%=185.55
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%=316.696/185.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.55 is what percent of 316.696

100%/x%=316.696/185.55
(100/x)*x=(316.696/185.55)*x       - we multiply both sides of the equation by x
100=1.7067960118566*x       - we divide both sides of the equation by (1.7067960118566) to get x
100/1.7067960118566=x
58.589309621846=x
x=58.589309621846

now we have:
185.55 is 58.589309621846% of 316.696