328.46 is what percent of 5745.73 - 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 5745.73 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 5745.73, so we can write it down as 100%=5745.73.
4. We know, that x% equals 328.46 of the output value, so we can write it down as x%=328.46.
5. Now we have two simple equations:
1) 100%=5745.73
2) x%=328.46
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%=5745.73/328.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 328.46 is what percent of 5745.73

100%/x%=5745.73/328.46
(100/x)*x=(5745.73/328.46)*x       - we multiply both sides of the equation by x
100=17.492936735067*x       - we divide both sides of the equation by (17.492936735067) to get x
100/17.492936735067=x
5.7165930177715=x
x=5.7165930177715

now we have:
328.46 is 5.7165930177715% of 5745.73