11.76 is what percent of 14.08 - 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 14.08 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 14.08, so we can write it down as 100%=14.08.
4. We know, that x% equals 11.76 of the output value, so we can write it down as x%=11.76.
5. Now we have two simple equations:
1) 100%=14.08
2) x%=11.76
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%=14.08/11.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.76 is what percent of 14.08

100%/x%=14.08/11.76
(100/x)*x=(14.08/11.76)*x       - we multiply both sides of the equation by x
100=1.1972789115646*x       - we divide both sides of the equation by (1.1972789115646) to get x
100/1.1972789115646=x
83.522727272727=x
x=83.522727272727

now we have:
11.76 is 83.522727272727% of 14.08