11.74 is what percent of 13 - 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 13 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 13, so we can write it down as 100%=13.
4. We know, that x% equals 11.74 of the output value, so we can write it down as x%=11.74.
5. Now we have two simple equations:
1) 100%=13
2) x%=11.74
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%=13/11.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.74 is what percent of 13

100%/x%=13/11.74
(100/x)*x=(13/11.74)*x       - we multiply both sides of the equation by x
100=1.1073253833049*x       - we divide both sides of the equation by (1.1073253833049) to get x
100/1.1073253833049=x
90.307692307692=x
x=90.307692307692

now we have:
11.74 is 90.307692307692% of 13