108.74 is what percent of 224.9 - 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 224.9 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 224.9, so we can write it down as 100%=224.9.
4. We know, that x% equals 108.74 of the output value, so we can write it down as x%=108.74.
5. Now we have two simple equations:
1) 100%=224.9
2) x%=108.74
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%=224.9/108.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.74 is what percent of 224.9

100%/x%=224.9/108.74
(100/x)*x=(224.9/108.74)*x       - we multiply both sides of the equation by x
100=2.0682361596469*x       - we divide both sides of the equation by (2.0682361596469) to get x
100/2.0682361596469=x
48.350377945754=x
x=48.350377945754

now we have:
108.74 is 48.350377945754% of 224.9