85 is what percent of 1064 - 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 1064 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 1064, so we can write it down as 100%=1064.
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%=1064
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%=1064/85
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 1064

100%/x%=1064/85
(100/x)*x=(1064/85)*x       - we multiply both sides of the equation by x
100=12.517647058824*x       - we divide both sides of the equation by (12.517647058824) to get x
100/12.517647058824=x
7.9887218045113=x
x=7.9887218045113

now we have:
85 is 7.9887218045113% of 1064