586.26 is what percent of 850 - 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 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, so we can write it down as 100%=850.
4. We know, that x% equals 586.26 of the output value, so we can write it down as x%=586.26.
5. Now we have two simple equations:
1) 100%=850
2) x%=586.26
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%=850/586.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 586.26 is what percent of 850

100%/x%=850/586.26
(100/x)*x=(850/586.26)*x       - we multiply both sides of the equation by x
100=1.4498686589568*x       - we divide both sides of the equation by (1.4498686589568) to get x
100/1.4498686589568=x
68.971764705882=x
x=68.971764705882

now we have:
586.26 is 68.971764705882% of 850