13.2 is what percent of 148 - 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 148 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 148, so we can write it down as 100%=148.
4. We know, that x% equals 13.2 of the output value, so we can write it down as x%=13.2.
5. Now we have two simple equations:
1) 100%=148
2) x%=13.2
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%=148/13.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.2 is what percent of 148

100%/x%=148/13.2
(100/x)*x=(148/13.2)*x       - we multiply both sides of the equation by x
100=11.212121212121*x       - we divide both sides of the equation by (11.212121212121) to get x
100/11.212121212121=x
8.9189189189189=x
x=8.9189189189189

now we have:
13.2 is 8.9189189189189% of 148