36.25 is what percent of 148.75 - 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 148.75 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 148.75, so we can write it down as 100%=148.75.
4. We know, that x% equals 36.25 of the output value, so we can write it down as x%=36.25.
5. Now we have two simple equations:
1) 100%=148.75
2) x%=36.25
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%=148.75/36.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.25 is what percent of 148.75

100%/x%=148.75/36.25
(100/x)*x=(148.75/36.25)*x       - we multiply both sides of the equation by x
100=4.1034482758621*x       - we divide both sides of the equation by (4.1034482758621) to get x
100/4.1034482758621=x
24.36974789916=x
x=24.36974789916

now we have:
36.25 is 24.36974789916% of 148.75