59.27 is what percent of 153.27 - 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 153.27 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 153.27, so we can write it down as 100%=153.27.
4. We know, that x% equals 59.27 of the output value, so we can write it down as x%=59.27.
5. Now we have two simple equations:
1) 100%=153.27
2) x%=59.27
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%=153.27/59.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.27 is what percent of 153.27

100%/x%=153.27/59.27
(100/x)*x=(153.27/59.27)*x       - we multiply both sides of the equation by x
100=2.5859625442888*x       - we divide both sides of the equation by (2.5859625442888) to get x
100/2.5859625442888=x
38.67032034971=x
x=38.67032034971

now we have:
59.27 is 38.67032034971% of 153.27