85 is what percent of 579 - 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 579 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 579, so we can write it down as 100%=579.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=579
2) x%=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%=579/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 579

100%/x%=579/85
(100/x)*x=(579/85)*x       - we multiply both sides of the equation by x
100=6.8117647058824*x       - we divide both sides of the equation by (6.8117647058824) to get x
100/6.8117647058824=x
14.680483592401=x
x=14.680483592401

now we have:
85 is 14.680483592401% of 579