930.31 is what percent of 1099.17 - 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 1099.17 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 1099.17, so we can write it down as 100%=1099.17.
4. We know, that x% equals 930.31 of the output value, so we can write it down as x%=930.31.
5. Now we have two simple equations:
1) 100%=1099.17
2) x%=930.31
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%=1099.17/930.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 930.31 is what percent of 1099.17

100%/x%=1099.17/930.31
(100/x)*x=(1099.17/930.31)*x       - we multiply both sides of the equation by x
100=1.1815093893433*x       - we divide both sides of the equation by (1.1815093893433) to get x
100/1.1815093893433=x
84.637499203945=x
x=84.637499203945

now we have:
930.31 is 84.637499203945% of 1099.17