715.83 is what percent of 85 - 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 85 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 85, so we can write it down as 100%=85.
4. We know, that x% equals 715.83 of the output value, so we can write it down as x%=715.83.
5. Now we have two simple equations:
1) 100%=85
2) x%=715.83
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%=85/715.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 715.83 is what percent of 85

100%/x%=85/715.83
(100/x)*x=(85/715.83)*x       - we multiply both sides of the equation by x
100=0.11874327703505*x       - we divide both sides of the equation by (0.11874327703505) to get x
100/0.11874327703505=x
842.15294117647=x
x=842.15294117647

now we have:
715.83 is 842.15294117647% of 85