38.09 is what percent of 46 - 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 46 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 46, so we can write it down as 100%=46.
4. We know, that x% equals 38.09 of the output value, so we can write it down as x%=38.09.
5. Now we have two simple equations:
1) 100%=46
2) x%=38.09
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%=46/38.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.09 is what percent of 46

100%/x%=46/38.09
(100/x)*x=(46/38.09)*x       - we multiply both sides of the equation by x
100=1.20766605408*x       - we divide both sides of the equation by (1.20766605408) to get x
100/1.20766605408=x
82.8043478261=x
x=82.8043478261

now we have:
38.09 is 82.8043478261% of 46