14.89 is what percent of 11.96 - 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 11.96 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 11.96, so we can write it down as 100%=11.96.
4. We know, that x% equals 14.89 of the output value, so we can write it down as x%=14.89.
5. Now we have two simple equations:
1) 100%=11.96
2) x%=14.89
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%=11.96/14.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.89 is what percent of 11.96

100%/x%=11.96/14.89
(100/x)*x=(11.96/14.89)*x       - we multiply both sides of the equation by x
100=0.80322364002686*x       - we divide both sides of the equation by (0.80322364002686) to get x
100/0.80322364002686=x
124.4983277592=x
x=124.4983277592

now we have:
14.89 is 124.4983277592% of 11.96