72.41 is what percent of 6155 - 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 6155 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 6155, so we can write it down as 100%=6155.
4. We know, that x% equals 72.41 of the output value, so we can write it down as x%=72.41.
5. Now we have two simple equations:
1) 100%=6155
2) x%=72.41
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%=6155/72.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.41 is what percent of 6155

100%/x%=6155/72.41
(100/x)*x=(6155/72.41)*x       - we multiply both sides of the equation by x
100=85.002071537081*x       - we divide both sides of the equation by (85.002071537081) to get x
100/85.002071537081=x
1.1764419171405=x
x=1.1764419171405

now we have:
72.41 is 1.1764419171405% of 6155