596.98 is what percent of 850.92 - 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 850.92 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 850.92, so we can write it down as 100%=850.92.
4. We know, that x% equals 596.98 of the output value, so we can write it down as x%=596.98.
5. Now we have two simple equations:
1) 100%=850.92
2) x%=596.98
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%=850.92/596.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 596.98 is what percent of 850.92

100%/x%=850.92/596.98
(100/x)*x=(850.92/596.98)*x       - we multiply both sides of the equation by x
100=1.4253743844015*x       - we divide both sides of the equation by (1.4253743844015) to get x
100/1.4253743844015=x
70.157006534104=x
x=70.157006534104

now we have:
596.98 is 70.157006534104% of 850.92