83.85 is what percent of 1083.85 - 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 1083.85 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 1083.85, so we can write it down as 100%=1083.85.
4. We know, that x% equals 83.85 of the output value, so we can write it down as x%=83.85.
5. Now we have two simple equations:
1) 100%=1083.85
2) x%=83.85
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%=1083.85/83.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.85 is what percent of 1083.85

100%/x%=1083.85/83.85
(100/x)*x=(1083.85/83.85)*x       - we multiply both sides of the equation by x
100=12.926058437686*x       - we divide both sides of the equation by (12.926058437686) to get x
100/12.926058437686=x
7.7363103750519=x
x=7.7363103750519

now we have:
83.85 is 7.7363103750519% of 1083.85