11.98 is what percent of 7.83 - 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 7.83 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 7.83, so we can write it down as 100%=7.83.
4. We know, that x% equals 11.98 of the output value, so we can write it down as x%=11.98.
5. Now we have two simple equations:
1) 100%=7.83
2) x%=11.98
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%=7.83/11.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.98 is what percent of 7.83

100%/x%=7.83/11.98
(100/x)*x=(7.83/11.98)*x       - we multiply both sides of the equation by x
100=0.65358931552588*x       - we divide both sides of the equation by (0.65358931552588) to get x
100/0.65358931552588=x
153.00127713921=x
x=153.00127713921

now we have:
11.98 is 153.00127713921% of 7.83