38.92 is what percent of 152.46 - 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 152.46 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 152.46, so we can write it down as 100%=152.46.
4. We know, that x% equals 38.92 of the output value, so we can write it down as x%=38.92.
5. Now we have two simple equations:
1) 100%=152.46
2) x%=38.92
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%=152.46/38.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.92 is what percent of 152.46

100%/x%=152.46/38.92
(100/x)*x=(152.46/38.92)*x       - we multiply both sides of the equation by x
100=3.9172661870504*x       - we divide both sides of the equation by (3.9172661870504) to get x
100/3.9172661870504=x
25.528007346189=x
x=25.528007346189

now we have:
38.92 is 25.528007346189% of 152.46