3738 is what percent of 10894.2 - 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 10894.2 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 10894.2, so we can write it down as 100%=10894.2.
4. We know, that x% equals 3738 of the output value, so we can write it down as x%=3738.
5. Now we have two simple equations:
1) 100%=10894.2
2) x%=3738
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%=10894.2/3738
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3738 is what percent of 10894.2

100%/x%=10894.2/3738
(100/x)*x=(10894.2/3738)*x       - we multiply both sides of the equation by x
100=2.9144462279294*x       - we divide both sides of the equation by (2.9144462279294) to get x
100/2.9144462279294=x
34.31183565567=x
x=34.31183565567

now we have:
3738 is 34.31183565567% of 10894.2