338.79 is what percent of 4526.4 - 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 4526.4 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 4526.4, so we can write it down as 100%=4526.4.
4. We know, that x% equals 338.79 of the output value, so we can write it down as x%=338.79.
5. Now we have two simple equations:
1) 100%=4526.4
2) x%=338.79
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%=4526.4/338.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.79 is what percent of 4526.4

100%/x%=4526.4/338.79
(100/x)*x=(4526.4/338.79)*x       - we multiply both sides of the equation by x
100=13.360488798371*x       - we divide both sides of the equation by (13.360488798371) to get x
100/13.360488798371=x
7.484756097561=x
x=7.484756097561

now we have:
338.79 is 7.484756097561% of 4526.4