13.5 is what percent of 29.18 - 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 29.18 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 29.18, so we can write it down as 100%=29.18.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=29.18
2) x%=13.5
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%=29.18/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 29.18

100%/x%=29.18/13.5
(100/x)*x=(29.18/13.5)*x       - we multiply both sides of the equation by x
100=2.1614814814815*x       - we divide both sides of the equation by (2.1614814814815) to get x
100/2.1614814814815=x
46.264564770391=x
x=46.264564770391

now we have:
13.5 is 46.264564770391% of 29.18