318.4 is what percent of 1205.24 - 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 1205.24 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 1205.24, so we can write it down as 100%=1205.24.
4. We know, that x% equals 318.4 of the output value, so we can write it down as x%=318.4.
5. Now we have two simple equations:
1) 100%=1205.24
2) x%=318.4
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%=1205.24/318.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.4 is what percent of 1205.24

100%/x%=1205.24/318.4
(100/x)*x=(1205.24/318.4)*x       - we multiply both sides of the equation by x
100=3.7853015075377*x       - we divide both sides of the equation by (3.7853015075377) to get x
100/3.7853015075377=x
26.417974843185=x
x=26.417974843185

now we have:
318.4 is 26.417974843185% of 1205.24