38.2 is what percent of 2046.63 - 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 2046.63 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 2046.63, so we can write it down as 100%=2046.63.
4. We know, that x% equals 38.2 of the output value, so we can write it down as x%=38.2.
5. Now we have two simple equations:
1) 100%=2046.63
2) x%=38.2
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%=2046.63/38.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.2 is what percent of 2046.63

100%/x%=2046.63/38.2
(100/x)*x=(2046.63/38.2)*x       - we multiply both sides of the equation by x
100=53.576701570681*x       - we divide both sides of the equation by (53.576701570681) to get x
100/53.576701570681=x
1.8664829500203=x
x=1.8664829500203

now we have:
38.2 is 1.8664829500203% of 2046.63