18.92 is what percent of 22.88 - 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 22.88 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 22.88, so we can write it down as 100%=22.88.
4. We know, that x% equals 18.92 of the output value, so we can write it down as x%=18.92.
5. Now we have two simple equations:
1) 100%=22.88
2) x%=18.92
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%=22.88/18.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.92 is what percent of 22.88

100%/x%=22.88/18.92
(100/x)*x=(22.88/18.92)*x       - we multiply both sides of the equation by x
100=1.2093023255814*x       - we divide both sides of the equation by (1.2093023255814) to get x
100/1.2093023255814=x
82.692307692308=x
x=82.692307692308

now we have:
18.92 is 82.692307692308% of 22.88