16.38 is what percent of 150.24 - 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 150.24 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 150.24, so we can write it down as 100%=150.24.
4. We know, that x% equals 16.38 of the output value, so we can write it down as x%=16.38.
5. Now we have two simple equations:
1) 100%=150.24
2) x%=16.38
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%=150.24/16.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.38 is what percent of 150.24

100%/x%=150.24/16.38
(100/x)*x=(150.24/16.38)*x       - we multiply both sides of the equation by x
100=9.1721611721612*x       - we divide both sides of the equation by (9.1721611721612) to get x
100/9.1721611721612=x
10.902555910543=x
x=10.902555910543

now we have:
16.38 is 10.902555910543% of 150.24