926.25 is what percent of 1029.17 - 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 1029.17 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 1029.17, so we can write it down as 100%=1029.17.
4. We know, that x% equals 926.25 of the output value, so we can write it down as x%=926.25.
5. Now we have two simple equations:
1) 100%=1029.17
2) x%=926.25
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%=1029.17/926.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 926.25 is what percent of 1029.17

100%/x%=1029.17/926.25
(100/x)*x=(1029.17/926.25)*x       - we multiply both sides of the equation by x
100=1.1111147098516*x       - we divide both sides of the equation by (1.1111147098516) to get x
100/1.1111147098516=x
89.999708502968=x
x=89.999708502968

now we have:
926.25 is 89.999708502968% of 1029.17