4.72 is what percent of 16.06 - 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 16.06 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 16.06, so we can write it down as 100%=16.06.
4. We know, that x% equals 4.72 of the output value, so we can write it down as x%=4.72.
5. Now we have two simple equations:
1) 100%=16.06
2) x%=4.72
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%=16.06/4.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.72 is what percent of 16.06

100%/x%=16.06/4.72
(100/x)*x=(16.06/4.72)*x       - we multiply both sides of the equation by x
100=3.4025423728814*x       - we divide both sides of the equation by (3.4025423728814) to get x
100/3.4025423728814=x
29.389788293898=x
x=29.389788293898

now we have:
4.72 is 29.389788293898% of 16.06