11.99 is what percent of 7.15 - 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 7.15 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 7.15, so we can write it down as 100%=7.15.
4. We know, that x% equals 11.99 of the output value, so we can write it down as x%=11.99.
5. Now we have two simple equations:
1) 100%=7.15
2) x%=11.99
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%=7.15/11.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.99 is what percent of 7.15

100%/x%=7.15/11.99
(100/x)*x=(7.15/11.99)*x       - we multiply both sides of the equation by x
100=0.59633027522936*x       - we divide both sides of the equation by (0.59633027522936) to get x
100/0.59633027522936=x
167.69230769231=x
x=167.69230769231

now we have:
11.99 is 167.69230769231% of 7.15