679.25 is what percent of 865 - 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 865 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 865, so we can write it down as 100%=865.
4. We know, that x% equals 679.25 of the output value, so we can write it down as x%=679.25.
5. Now we have two simple equations:
1) 100%=865
2) x%=679.25
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%=865/679.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 679.25 is what percent of 865

100%/x%=865/679.25
(100/x)*x=(865/679.25)*x       - we multiply both sides of the equation by x
100=1.2734633787265*x       - we divide both sides of the equation by (1.2734633787265) to get x
100/1.2734633787265=x
78.526011560694=x
x=78.526011560694

now we have:
679.25 is 78.526011560694% of 865