37.85 is what percent of 318 - 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 318 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 318, so we can write it down as 100%=318.
4. We know, that x% equals 37.85 of the output value, so we can write it down as x%=37.85.
5. Now we have two simple equations:
1) 100%=318
2) x%=37.85
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%=318/37.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.85 is what percent of 318

100%/x%=318/37.85
(100/x)*x=(318/37.85)*x       - we multiply both sides of the equation by x
100=8.4015852047556*x       - we divide both sides of the equation by (8.4015852047556) to get x
100/8.4015852047556=x
11.90251572327=x
x=11.90251572327

now we have:
37.85 is 11.90251572327% of 318