38542.22 is what percent of 234900 - 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 234900 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 234900, so we can write it down as 100%=234900.
4. We know, that x% equals 38542.22 of the output value, so we can write it down as x%=38542.22.
5. Now we have two simple equations:
1) 100%=234900
2) x%=38542.22
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%=234900/38542.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38542.22 is what percent of 234900

100%/x%=234900/38542.22
(100/x)*x=(234900/38542.22)*x       - we multiply both sides of the equation by x
100=6.0946152037947*x       - we divide both sides of the equation by (6.0946152037947) to get x
100/6.0946152037947=x
16.407926777352=x
x=16.407926777352

now we have:
38542.22 is 16.407926777352% of 234900