48.09 is what percent of 574.26 - 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 574.26 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 574.26, so we can write it down as 100%=574.26.
4. We know, that x% equals 48.09 of the output value, so we can write it down as x%=48.09.
5. Now we have two simple equations:
1) 100%=574.26
2) x%=48.09
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%=574.26/48.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.09 is what percent of 574.26

100%/x%=574.26/48.09
(100/x)*x=(574.26/48.09)*x       - we multiply both sides of the equation by x
100=11.941359950094*x       - we divide both sides of the equation by (11.941359950094) to get x
100/11.941359950094=x
8.374255563682=x
x=8.374255563682

now we have:
48.09 is 8.374255563682% of 574.26