85 is what percent of 1167.5 - 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 1167.5 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 1167.5, so we can write it down as 100%=1167.5.
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%=1167.5
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%=1167.5/85
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 1167.5

100%/x%=1167.5/85
(100/x)*x=(1167.5/85)*x       - we multiply both sides of the equation by x
100=13.735294117647*x       - we divide both sides of the equation by (13.735294117647) to get x
100/13.735294117647=x
7.2805139186296=x
x=7.2805139186296

now we have:
85 is 7.2805139186296% of 1167.5