586.87 is what percent of 1604 - 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 1604 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 1604, so we can write it down as 100%=1604.
4. We know, that x% equals 586.87 of the output value, so we can write it down as x%=586.87.
5. Now we have two simple equations:
1) 100%=1604
2) x%=586.87
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%=1604/586.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 586.87 is what percent of 1604

100%/x%=1604/586.87
(100/x)*x=(1604/586.87)*x       - we multiply both sides of the equation by x
100=2.7331436263568*x       - we divide both sides of the equation by (2.7331436263568) to get x
100/2.7331436263568=x
36.587905236908=x
x=36.587905236908

now we have:
586.87 is 36.587905236908% of 1604