320.96 is what percent of 5833.33 - 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 5833.33 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 5833.33, so we can write it down as 100%=5833.33.
4. We know, that x% equals 320.96 of the output value, so we can write it down as x%=320.96.
5. Now we have two simple equations:
1) 100%=5833.33
2) x%=320.96
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%=5833.33/320.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.96 is what percent of 5833.33

100%/x%=5833.33/320.96
(100/x)*x=(5833.33/320.96)*x       - we multiply both sides of the equation by x
100=18.174632352941*x       - we divide both sides of the equation by (18.174632352941) to get x
100/18.174632352941=x
5.5021745726712=x
x=5.5021745726712

now we have:
320.96 is 5.5021745726712% of 5833.33