46.25 is what percent of 1538.33 - 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 1538.33 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 1538.33, so we can write it down as 100%=1538.33.
4. We know, that x% equals 46.25 of the output value, so we can write it down as x%=46.25.
5. Now we have two simple equations:
1) 100%=1538.33
2) x%=46.25
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%=1538.33/46.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.25 is what percent of 1538.33

100%/x%=1538.33/46.25
(100/x)*x=(1538.33/46.25)*x       - we multiply both sides of the equation by x
100=33.261189189189*x       - we divide both sides of the equation by (33.261189189189) to get x
100/33.261189189189=x
3.0065070563533=x
x=3.0065070563533

now we have:
46.25 is 3.0065070563533% of 1538.33