8333.33 is what percent of 11.667 - 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 11.667 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 11.667, so we can write it down as 100%=11.667.
4. We know, that x% equals 8333.33 of the output value, so we can write it down as x%=8333.33.
5. Now we have two simple equations:
1) 100%=11.667
2) x%=8333.33
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%=11.667/8333.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8333.33 is what percent of 11.667

100%/x%=11.667/8333.33
(100/x)*x=(11.667/8333.33)*x       - we multiply both sides of the equation by x
100=0.0014000405600162*x       - we divide both sides of the equation by (0.0014000405600162) to get x
100/0.0014000405600162=x
71426.50209994=x
x=71426.50209994

now we have:
8333.33 is 71426.50209994% of 11.667