579.42 is what percent of 1867.25 - 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 1867.25 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 1867.25, so we can write it down as 100%=1867.25.
4. We know, that x% equals 579.42 of the output value, so we can write it down as x%=579.42.
5. Now we have two simple equations:
1) 100%=1867.25
2) x%=579.42
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%=1867.25/579.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 579.42 is what percent of 1867.25

100%/x%=1867.25/579.42
(100/x)*x=(1867.25/579.42)*x       - we multiply both sides of the equation by x
100=3.222619170895*x       - we divide both sides of the equation by (3.222619170895) to get x
100/3.222619170895=x
31.030660061588=x
x=31.030660061588

now we have:
579.42 is 31.030660061588% of 1867.25