104.35 is what percent of 823.29 - 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 823.29 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 823.29, so we can write it down as 100%=823.29.
4. We know, that x% equals 104.35 of the output value, so we can write it down as x%=104.35.
5. Now we have two simple equations:
1) 100%=823.29
2) x%=104.35
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%=823.29/104.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.35 is what percent of 823.29

100%/x%=823.29/104.35
(100/x)*x=(823.29/104.35)*x       - we multiply both sides of the equation by x
100=7.8896981312889*x       - we divide both sides of the equation by (7.8896981312889) to get x
100/7.8896981312889=x
12.674756161255=x
x=12.674756161255

now we have:
104.35 is 12.674756161255% of 823.29