386.43 is what percent of 5408.24 - 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 5408.24 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 5408.24, so we can write it down as 100%=5408.24.
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%=5408.24
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%=5408.24/386.43
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 5408.24

100%/x%=5408.24/386.43
(100/x)*x=(5408.24/386.43)*x       - we multiply both sides of the equation by x
100=13.995393732371*x       - we divide both sides of the equation by (13.995393732371) to get x
100/13.995393732371=x
7.1452080528971=x
x=7.1452080528971

now we have:
386.43 is 7.1452080528971% of 5408.24