11 is what percent of 19.97 - 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 19.97 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 19.97, so we can write it down as 100%=19.97.
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%=19.97
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%=19.97/11
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 19.97

100%/x%=19.97/11
(100/x)*x=(19.97/11)*x       - we multiply both sides of the equation by x
100=1.8154545454545*x       - we divide both sides of the equation by (1.8154545454545) to get x
100/1.8154545454545=x
55.082623935904=x
x=55.082623935904

now we have:
11 is 55.082623935904% of 19.97