386.86 is what percent of 3733.71 - 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 3733.71 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 3733.71, so we can write it down as 100%=3733.71.
4. We know, that x% equals 386.86 of the output value, so we can write it down as x%=386.86.
5. Now we have two simple equations:
1) 100%=3733.71
2) x%=386.86
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%=3733.71/386.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.86 is what percent of 3733.71

100%/x%=3733.71/386.86
(100/x)*x=(3733.71/386.86)*x       - we multiply both sides of the equation by x
100=9.6513208912785*x       - we divide both sides of the equation by (9.6513208912785) to get x
100/9.6513208912785=x
10.361276049827=x
x=10.361276049827

now we have:
386.86 is 10.361276049827% of 3733.71