858.85 is what percent of 1062.85 - 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 1062.85 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 1062.85, so we can write it down as 100%=1062.85.
4. We know, that x% equals 858.85 of the output value, so we can write it down as x%=858.85.
5. Now we have two simple equations:
1) 100%=1062.85
2) x%=858.85
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%=1062.85/858.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 858.85 is what percent of 1062.85

100%/x%=1062.85/858.85
(100/x)*x=(1062.85/858.85)*x       - we multiply both sides of the equation by x
100=1.23752692554*x       - we divide both sides of the equation by (1.23752692554) to get x
100/1.23752692554=x
80.806322623136=x
x=80.806322623136

now we have:
858.85 is 80.806322623136% of 1062.85