11 is what percent of 3355.17 - 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 3355.17 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 3355.17, so we can write it down as 100%=3355.17.
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%=3355.17
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%=3355.17/11
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 3355.17

100%/x%=3355.17/11
(100/x)*x=(3355.17/11)*x       - we multiply both sides of the equation by x
100=305.01545454545*x       - we divide both sides of the equation by (305.01545454545) to get x
100/305.01545454545=x
0.32785223997592=x
x=0.32785223997592

now we have:
11 is 0.32785223997592% of 3355.17