7.89 is what percent of 11.98 - 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 11.98 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 11.98, so we can write it down as 100%=11.98.
4. We know, that x% equals 7.89 of the output value, so we can write it down as x%=7.89.
5. Now we have two simple equations:
1) 100%=11.98
2) x%=7.89
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%=11.98/7.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.89 is what percent of 11.98

100%/x%=11.98/7.89
(100/x)*x=(11.98/7.89)*x       - we multiply both sides of the equation by x
100=1.5183776932826*x       - we divide both sides of the equation by (1.5183776932826) to get x
100/1.5183776932826=x
65.859766277129=x
x=65.859766277129

now we have:
7.89 is 65.859766277129% of 11.98