36.74 is what percent of 152.48 - 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 152.48 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 152.48, so we can write it down as 100%=152.48.
4. We know, that x% equals 36.74 of the output value, so we can write it down as x%=36.74.
5. Now we have two simple equations:
1) 100%=152.48
2) x%=36.74
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%=152.48/36.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.74 is what percent of 152.48

100%/x%=152.48/36.74
(100/x)*x=(152.48/36.74)*x       - we multiply both sides of the equation by x
100=4.1502449646162*x       - we divide both sides of the equation by (4.1502449646162) to get x
100/4.1502449646162=x
24.094963273872=x
x=24.094963273872

now we have:
36.74 is 24.094963273872% of 152.48