38.94 is what percent of 1298.08 - 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 1298.08 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 1298.08, so we can write it down as 100%=1298.08.
4. We know, that x% equals 38.94 of the output value, so we can write it down as x%=38.94.
5. Now we have two simple equations:
1) 100%=1298.08
2) x%=38.94
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%=1298.08/38.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.94 is what percent of 1298.08

100%/x%=1298.08/38.94
(100/x)*x=(1298.08/38.94)*x       - we multiply both sides of the equation by x
100=33.335387776066*x       - we divide both sides of the equation by (33.335387776066) to get x
100/33.335387776066=x
2.9998151115494=x
x=2.9998151115494

now we have:
38.94 is 2.9998151115494% of 1298.08