1138.88 is what percent of 3799 - 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 3799 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 3799, so we can write it down as 100%=3799.
4. We know, that x% equals 1138.88 of the output value, so we can write it down as x%=1138.88.
5. Now we have two simple equations:
1) 100%=3799
2) x%=1138.88
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%=3799/1138.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1138.88 is what percent of 3799

100%/x%=3799/1138.88
(100/x)*x=(3799/1138.88)*x       - we multiply both sides of the equation by x
100=3.3357333520652*x       - we divide both sides of the equation by (3.3357333520652) to get x
100/3.3357333520652=x
29.978415372466=x
x=29.978415372466

now we have:
1138.88 is 29.978415372466% of 3799