11 is what percent of 2061 - 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 2061 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 2061, so we can write it down as 100%=2061.
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%=2061
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%=2061/11
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 2061

100%/x%=2061/11
(100/x)*x=(2061/11)*x       - we multiply both sides of the equation by x
100=187.36363636364*x       - we divide both sides of the equation by (187.36363636364) to get x
100/187.36363636364=x
0.53372149442018=x
x=0.53372149442018

now we have:
11 is 0.53372149442018% of 2061