2585.86 is what percent of 6180.16 - 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 6180.16 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 6180.16, so we can write it down as 100%=6180.16.
4. We know, that x% equals 2585.86 of the output value, so we can write it down as x%=2585.86.
5. Now we have two simple equations:
1) 100%=6180.16
2) x%=2585.86
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%=6180.16/2585.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2585.86 is what percent of 6180.16

100%/x%=6180.16/2585.86
(100/x)*x=(6180.16/2585.86)*x       - we multiply both sides of the equation by x
100=2.3899824429784*x       - we divide both sides of the equation by (2.3899824429784) to get x
100/2.3899824429784=x
41.841311551804=x
x=41.841311551804

now we have:
2585.86 is 41.841311551804% of 6180.16