108.47 is what percent of 3149.54 - 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 3149.54 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 3149.54, so we can write it down as 100%=3149.54.
4. We know, that x% equals 108.47 of the output value, so we can write it down as x%=108.47.
5. Now we have two simple equations:
1) 100%=3149.54
2) x%=108.47
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%=3149.54/108.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.47 is what percent of 3149.54

100%/x%=3149.54/108.47
(100/x)*x=(3149.54/108.47)*x       - we multiply both sides of the equation by x
100=29.036046833226*x       - we divide both sides of the equation by (29.036046833226) to get x
100/29.036046833226=x
3.4439949960947=x
x=3.4439949960947

now we have:
108.47 is 3.4439949960947% of 3149.54