85 is what percent of 1070 - 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 1070 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 1070, so we can write it down as 100%=1070.
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%=1070
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%=1070/85
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 1070

100%/x%=1070/85
(100/x)*x=(1070/85)*x       - we multiply both sides of the equation by x
100=12.588235294118*x       - we divide both sides of the equation by (12.588235294118) to get x
100/12.588235294118=x
7.9439252336449=x
x=7.9439252336449

now we have:
85 is 7.9439252336449% of 1070