11 is what percent of 16.98 - 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 16.98 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 16.98, so we can write it down as 100%=16.98.
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%=16.98
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%=16.98/11
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 16.98

100%/x%=16.98/11
(100/x)*x=(16.98/11)*x       - we multiply both sides of the equation by x
100=1.5436363636364*x       - we divide both sides of the equation by (1.5436363636364) to get x
100/1.5436363636364=x
64.782096584217=x
x=64.782096584217

now we have:
11 is 64.782096584217% of 16.98