13.95 is what percent of 29.92 - 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 29.92 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 29.92, so we can write it down as 100%=29.92.
4. We know, that x% equals 13.95 of the output value, so we can write it down as x%=13.95.
5. Now we have two simple equations:
1) 100%=29.92
2) x%=13.95
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%=29.92/13.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.95 is what percent of 29.92

100%/x%=29.92/13.95
(100/x)*x=(29.92/13.95)*x       - we multiply both sides of the equation by x
100=2.1448028673835*x       - we divide both sides of the equation by (2.1448028673835) to get x
100/2.1448028673835=x
46.624331550802=x
x=46.624331550802

now we have:
13.95 is 46.624331550802% of 29.92