85 is what percent of 1597 - 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 1597 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 1597, so we can write it down as 100%=1597.
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%=1597
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%=1597/85
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 1597

100%/x%=1597/85
(100/x)*x=(1597/85)*x       - we multiply both sides of the equation by x
100=18.788235294118*x       - we divide both sides of the equation by (18.788235294118) to get x
100/18.788235294118=x
5.3224796493425=x
x=5.3224796493425

now we have:
85 is 5.3224796493425% of 1597