16.08 is what percent of 23.09 - 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 23.09 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 23.09, so we can write it down as 100%=23.09.
4. We know, that x% equals 16.08 of the output value, so we can write it down as x%=16.08.
5. Now we have two simple equations:
1) 100%=23.09
2) x%=16.08
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%=23.09/16.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.08 is what percent of 23.09

100%/x%=23.09/16.08
(100/x)*x=(23.09/16.08)*x       - we multiply both sides of the equation by x
100=1.4359452736318*x       - we divide both sides of the equation by (1.4359452736318) to get x
100/1.4359452736318=x
69.640537029017=x
x=69.640537029017

now we have:
16.08 is 69.640537029017% of 23.09