83.33 is what percent of 1041.67 - 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 1041.67 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 1041.67, so we can write it down as 100%=1041.67.
4. We know, that x% equals 83.33 of the output value, so we can write it down as x%=83.33.
5. Now we have two simple equations:
1) 100%=1041.67
2) x%=83.33
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%=1041.67/83.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.33 is what percent of 1041.67

100%/x%=1041.67/83.33
(100/x)*x=(1041.67/83.33)*x       - we multiply both sides of the equation by x
100=12.500540021601*x       - we divide both sides of the equation by (12.500540021601) to get x
100/12.500540021601=x
7.9996544011059=x
x=7.9996544011059

now we have:
83.33 is 7.9996544011059% of 1041.67