22.5 is what percent of 38 - 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 38 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 38, so we can write it down as 100%=38.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=38
2) x%=22.5
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%=38/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 38

100%/x%=38/22.5
(100/x)*x=(38/22.5)*x       - we multiply both sides of the equation by x
100=1.6888888888889*x       - we divide both sides of the equation by (1.6888888888889) to get x
100/1.6888888888889=x
59.210526315789=x
x=59.210526315789

now we have:
22.5 is 59.210526315789% of 38