106.07 is what percent of 772.61 - 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 772.61 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 772.61, so we can write it down as 100%=772.61.
4. We know, that x% equals 106.07 of the output value, so we can write it down as x%=106.07.
5. Now we have two simple equations:
1) 100%=772.61
2) x%=106.07
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%=772.61/106.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.07 is what percent of 772.61

100%/x%=772.61/106.07
(100/x)*x=(772.61/106.07)*x       - we multiply both sides of the equation by x
100=7.2839634203828*x       - we divide both sides of the equation by (7.2839634203828) to get x
100/7.2839634203828=x
13.728789428043=x
x=13.728789428043

now we have:
106.07 is 13.728789428043% of 772.61