108.48 is what percent of 714.29 - 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 714.29 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 714.29, so we can write it down as 100%=714.29.
4. We know, that x% equals 108.48 of the output value, so we can write it down as x%=108.48.
5. Now we have two simple equations:
1) 100%=714.29
2) x%=108.48
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%=714.29/108.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.48 is what percent of 714.29

100%/x%=714.29/108.48
(100/x)*x=(714.29/108.48)*x       - we multiply both sides of the equation by x
100=6.5845317109145*x       - we divide both sides of the equation by (6.5845317109145) to get x
100/6.5845317109145=x
15.187108877347=x
x=15.187108877347

now we have:
108.48 is 15.187108877347% of 714.29