13.14 is what percent of 11.89 - 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 11.89 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 11.89, so we can write it down as 100%=11.89.
4. We know, that x% equals 13.14 of the output value, so we can write it down as x%=13.14.
5. Now we have two simple equations:
1) 100%=11.89
2) x%=13.14
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%=11.89/13.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.14 is what percent of 11.89

100%/x%=11.89/13.14
(100/x)*x=(11.89/13.14)*x       - we multiply both sides of the equation by x
100=0.90487062404871*x       - we divide both sides of the equation by (0.90487062404871) to get x
100/0.90487062404871=x
110.51303616484=x
x=110.51303616484

now we have:
13.14 is 110.51303616484% of 11.89