827.5 is what percent of 851 - 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 851 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 851, so we can write it down as 100%=851.
4. We know, that x% equals 827.5 of the output value, so we can write it down as x%=827.5.
5. Now we have two simple equations:
1) 100%=851
2) x%=827.5
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%=851/827.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 827.5 is what percent of 851

100%/x%=851/827.5
(100/x)*x=(851/827.5)*x       - we multiply both sides of the equation by x
100=1.0283987915408*x       - we divide both sides of the equation by (1.0283987915408) to get x
100/1.0283987915408=x
97.238542890717=x
x=97.238542890717

now we have:
827.5 is 97.238542890717% of 851