37026.4 is what percent of 318423.6 - 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 318423.6 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 318423.6, so we can write it down as 100%=318423.6.
4. We know, that x% equals 37026.4 of the output value, so we can write it down as x%=37026.4.
5. Now we have two simple equations:
1) 100%=318423.6
2) x%=37026.4
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%=318423.6/37026.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37026.4 is what percent of 318423.6

100%/x%=318423.6/37026.4
(100/x)*x=(318423.6/37026.4)*x       - we multiply both sides of the equation by x
100=8.5999070933172*x       - we divide both sides of the equation by (8.5999070933172) to get x
100/8.5999070933172=x
11.628032595574=x
x=11.628032595574

now we have:
37026.4 is 11.628032595574% of 318423.6