41.59 is what percent of 2579.37 - 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 2579.37 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 2579.37, so we can write it down as 100%=2579.37.
4. We know, that x% equals 41.59 of the output value, so we can write it down as x%=41.59.
5. Now we have two simple equations:
1) 100%=2579.37
2) x%=41.59
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%=2579.37/41.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.59 is what percent of 2579.37

100%/x%=2579.37/41.59
(100/x)*x=(2579.37/41.59)*x       - we multiply both sides of the equation by x
100=62.0189949507*x       - we divide both sides of the equation by (62.0189949507) to get x
100/62.0189949507=x
1.61240923171=x
x=1.61240923171

now we have:
41.59 is 1.61240923171% of 2579.37