16 is what percent of 34.31 - 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 34.31 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 34.31, so we can write it down as 100%=34.31.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=34.31
2) x%=16
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%=34.31/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 34.31

100%/x%=34.31/16
(100/x)*x=(34.31/16)*x       - we multiply both sides of the equation by x
100=2.144375*x       - we divide both sides of the equation by (2.144375) to get x
100/2.144375=x
46.63363450889=x
x=46.63363450889

now we have:
16 is 46.63363450889% of 34.31