178.3 is what percent of 386 - 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 386 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 386, so we can write it down as 100%=386.
4. We know, that x% equals 178.3 of the output value, so we can write it down as x%=178.3.
5. Now we have two simple equations:
1) 100%=386
2) x%=178.3
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%=386/178.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.3 is what percent of 386

100%/x%=386/178.3
(100/x)*x=(386/178.3)*x       - we multiply both sides of the equation by x
100=2.1648906337633*x       - we divide both sides of the equation by (2.1648906337633) to get x
100/2.1648906337633=x
46.19170984456=x
x=46.19170984456

now we have:
178.3 is 46.19170984456% of 386