13.68 is what percent of 150.48 - 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 150.48 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 150.48, so we can write it down as 100%=150.48.
4. We know, that x% equals 13.68 of the output value, so we can write it down as x%=13.68.
5. Now we have two simple equations:
1) 100%=150.48
2) x%=13.68
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%=150.48/13.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.68 is what percent of 150.48

100%/x%=150.48/13.68
(100/x)*x=(150.48/13.68)*x       - we multiply both sides of the equation by x
100=11*x       - we divide both sides of the equation by (11) to get x
100/11=x
9.0909090909091=x
x=9.0909090909091

now we have:
13.68 is 9.0909090909091% of 150.48