16.13 is what percent of 54.95 - 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 54.95 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 54.95, so we can write it down as 100%=54.95.
4. We know, that x% equals 16.13 of the output value, so we can write it down as x%=16.13.
5. Now we have two simple equations:
1) 100%=54.95
2) x%=16.13
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%=54.95/16.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.13 is what percent of 54.95

100%/x%=54.95/16.13
(100/x)*x=(54.95/16.13)*x       - we multiply both sides of the equation by x
100=3.4066955982641*x       - we divide both sides of the equation by (3.4066955982641) to get x
100/3.4066955982641=x
29.353958143767=x
x=29.353958143767

now we have:
16.13 is 29.353958143767% of 54.95