325.15 is what percent of 587.41 - 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 587.41 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 587.41, so we can write it down as 100%=587.41.
4. We know, that x% equals 325.15 of the output value, so we can write it down as x%=325.15.
5. Now we have two simple equations:
1) 100%=587.41
2) x%=325.15
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%=587.41/325.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 325.15 is what percent of 587.41

100%/x%=587.41/325.15
(100/x)*x=(587.41/325.15)*x       - we multiply both sides of the equation by x
100=1.8065815777334*x       - we divide both sides of the equation by (1.8065815777334) to get x
100/1.8065815777334=x
55.353160484159=x
x=55.353160484159

now we have:
325.15 is 55.353160484159% of 587.41