108.14 is what percent of 552.16 - 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 552.16 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 552.16, so we can write it down as 100%=552.16.
4. We know, that x% equals 108.14 of the output value, so we can write it down as x%=108.14.
5. Now we have two simple equations:
1) 100%=552.16
2) x%=108.14
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%=552.16/108.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.14 is what percent of 552.16

100%/x%=552.16/108.14
(100/x)*x=(552.16/108.14)*x       - we multiply both sides of the equation by x
100=5.1059737377474*x       - we divide both sides of the equation by (5.1059737377474) to get x
100/5.1059737377474=x
19.584902926688=x
x=19.584902926688

now we have:
108.14 is 19.584902926688% of 552.16