107.7 is what percent of 700.2 - 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 700.2 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 700.2, so we can write it down as 100%=700.2.
4. We know, that x% equals 107.7 of the output value, so we can write it down as x%=107.7.
5. Now we have two simple equations:
1) 100%=700.2
2) x%=107.7
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%=700.2/107.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.7 is what percent of 700.2

100%/x%=700.2/107.7
(100/x)*x=(700.2/107.7)*x       - we multiply both sides of the equation by x
100=6.5013927576602*x       - we divide both sides of the equation by (6.5013927576602) to get x
100/6.5013927576602=x
15.381319622965=x
x=15.381319622965

now we have:
107.7 is 15.381319622965% of 700.2