386.43 is what percent of 500.5 - 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 500.5 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 500.5, so we can write it down as 100%=500.5.
4. We know, that x% equals 386.43 of the output value, so we can write it down as x%=386.43.
5. Now we have two simple equations:
1) 100%=500.5
2) x%=386.43
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%=500.5/386.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.43 is what percent of 500.5

100%/x%=500.5/386.43
(100/x)*x=(500.5/386.43)*x       - we multiply both sides of the equation by x
100=1.2951892968972*x       - we divide both sides of the equation by (1.2951892968972) to get x
100/1.2951892968972=x
77.208791208791=x
x=77.208791208791

now we have:
386.43 is 77.208791208791% of 500.5