11 is what percent of 663 - 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 663 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 663, so we can write it down as 100%=663.
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%=663
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%=663/11
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 663

100%/x%=663/11
(100/x)*x=(663/11)*x       - we multiply both sides of the equation by x
100=60.272727272727*x       - we divide both sides of the equation by (60.272727272727) to get x
100/60.272727272727=x
1.659125188537=x
x=1.659125188537

now we have:
11 is 1.659125188537% of 663