38.92 is what percent of 22.95 - 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 22.95 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 22.95, so we can write it down as 100%=22.95.
4. We know, that x% equals 38.92 of the output value, so we can write it down as x%=38.92.
5. Now we have two simple equations:
1) 100%=22.95
2) x%=38.92
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%=22.95/38.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.92 is what percent of 22.95

100%/x%=22.95/38.92
(100/x)*x=(22.95/38.92)*x       - we multiply both sides of the equation by x
100=0.58967112024666*x       - we divide both sides of the equation by (0.58967112024666) to get x
100/0.58967112024666=x
169.58605664488=x
x=169.58605664488

now we have:
38.92 is 169.58605664488% of 22.95