152.58 is what percent of 4038.46 - 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 4038.46 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 4038.46, so we can write it down as 100%=4038.46.
4. We know, that x% equals 152.58 of the output value, so we can write it down as x%=152.58.
5. Now we have two simple equations:
1) 100%=4038.46
2) x%=152.58
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%=4038.46/152.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.58 is what percent of 4038.46

100%/x%=4038.46/152.58
(100/x)*x=(4038.46/152.58)*x       - we multiply both sides of the equation by x
100=26.467820159916*x       - we divide both sides of the equation by (26.467820159916) to get x
100/26.467820159916=x
3.7781728678754=x
x=3.7781728678754

now we have:
152.58 is 3.7781728678754% of 4038.46