0.27 is what percent of 58.41 - 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 58.41 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 58.41, so we can write it down as 100%=58.41.
4. We know, that x% equals 0.27 of the output value, so we can write it down as x%=0.27.
5. Now we have two simple equations:
1) 100%=58.41
2) x%=0.27
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%=58.41/0.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.27 is what percent of 58.41

100%/x%=58.41/0.27
(100/x)*x=(58.41/0.27)*x       - we multiply both sides of the equation by x
100=216.33333333333*x       - we divide both sides of the equation by (216.33333333333) to get x
100/216.33333333333=x
0.46224961479199=x
x=0.46224961479199

now we have:
0.27 is 0.46224961479199% of 58.41