321.2 is what percent of 2083.33 - 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 2083.33 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 2083.33, so we can write it down as 100%=2083.33.
4. We know, that x% equals 321.2 of the output value, so we can write it down as x%=321.2.
5. Now we have two simple equations:
1) 100%=2083.33
2) x%=321.2
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%=2083.33/321.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 321.2 is what percent of 2083.33

100%/x%=2083.33/321.2
(100/x)*x=(2083.33/321.2)*x       - we multiply both sides of the equation by x
100=6.4860834371108*x       - we divide both sides of the equation by (6.4860834371108) to get x
100/6.4860834371108=x
15.417624668199=x
x=15.417624668199

now we have:
321.2 is 15.417624668199% of 2083.33