52.41 is what percent of 148.27 - 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 148.27 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 148.27, so we can write it down as 100%=148.27.
4. We know, that x% equals 52.41 of the output value, so we can write it down as x%=52.41.
5. Now we have two simple equations:
1) 100%=148.27
2) x%=52.41
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%=148.27/52.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.41 is what percent of 148.27

100%/x%=148.27/52.41
(100/x)*x=(148.27/52.41)*x       - we multiply both sides of the equation by x
100=2.8290402594925*x       - we divide both sides of the equation by (2.8290402594925) to get x
100/2.8290402594925=x
35.347676536049=x
x=35.347676536049

now we have:
52.41 is 35.347676536049% of 148.27