324.06 is what percent of 857.46 - 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 857.46 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 857.46, so we can write it down as 100%=857.46.
4. We know, that x% equals 324.06 of the output value, so we can write it down as x%=324.06.
5. Now we have two simple equations:
1) 100%=857.46
2) x%=324.06
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%=857.46/324.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 324.06 is what percent of 857.46

100%/x%=857.46/324.06
(100/x)*x=(857.46/324.06)*x       - we multiply both sides of the equation by x
100=2.6459914830587*x       - we divide both sides of the equation by (2.6459914830587) to get x
100/2.6459914830587=x
37.793016583864=x
x=37.793016583864

now we have:
324.06 is 37.793016583864% of 857.46