1069.44 is what percent of 8333.33 - 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 8333.33 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 8333.33, so we can write it down as 100%=8333.33.
4. We know, that x% equals 1069.44 of the output value, so we can write it down as x%=1069.44.
5. Now we have two simple equations:
1) 100%=8333.33
2) x%=1069.44
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%=8333.33/1069.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1069.44 is what percent of 8333.33

100%/x%=8333.33/1069.44
(100/x)*x=(8333.33/1069.44)*x       - we multiply both sides of the equation by x
100=7.7922370586475*x       - we divide both sides of the equation by (7.7922370586475) to get x
100/7.7922370586475=x
12.833285133314=x
x=12.833285133314

now we have:
1069.44 is 12.833285133314% of 8333.33