36.8 is what percent of 1469.2 - 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 1469.2 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 1469.2, so we can write it down as 100%=1469.2.
4. We know, that x% equals 36.8 of the output value, so we can write it down as x%=36.8.
5. Now we have two simple equations:
1) 100%=1469.2
2) x%=36.8
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%=1469.2/36.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.8 is what percent of 1469.2

100%/x%=1469.2/36.8
(100/x)*x=(1469.2/36.8)*x       - we multiply both sides of the equation by x
100=39.923913043478*x       - we divide both sides of the equation by (39.923913043478) to get x
100/39.923913043478=x
2.5047644976858=x
x=2.5047644976858

now we have:
36.8 is 2.5047644976858% of 1469.2