38.36 is what percent of 11000 - 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 11000 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 11000, so we can write it down as 100%=11000.
4. We know, that x% equals 38.36 of the output value, so we can write it down as x%=38.36.
5. Now we have two simple equations:
1) 100%=11000
2) x%=38.36
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%=11000/38.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.36 is what percent of 11000

100%/x%=11000/38.36
(100/x)*x=(11000/38.36)*x       - we multiply both sides of the equation by x
100=286.75703858186*x       - we divide both sides of the equation by (286.75703858186) to get x
100/286.75703858186=x
0.34872727272727=x
x=0.34872727272727

now we have:
38.36 is 0.34872727272727% of 11000