11 is what percent of 2936 - 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 2936 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 2936, so we can write it down as 100%=2936.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=2936
2) x%=11
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%=2936/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 2936

100%/x%=2936/11
(100/x)*x=(2936/11)*x       - we multiply both sides of the equation by x
100=266.90909090909*x       - we divide both sides of the equation by (266.90909090909) to get x
100/266.90909090909=x
0.37465940054496=x
x=0.37465940054496

now we have:
11 is 0.37465940054496% of 2936