394.48 is what percent of 2037.5 - 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 2037.5 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 2037.5, so we can write it down as 100%=2037.5.
4. We know, that x% equals 394.48 of the output value, so we can write it down as x%=394.48.
5. Now we have two simple equations:
1) 100%=2037.5
2) x%=394.48
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%=2037.5/394.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 394.48 is what percent of 2037.5

100%/x%=2037.5/394.48
(100/x)*x=(2037.5/394.48)*x       - we multiply both sides of the equation by x
100=5.1650273778138*x       - we divide both sides of the equation by (5.1650273778138) to get x
100/5.1650273778138=x
19.360981595092=x
x=19.360981595092

now we have:
394.48 is 19.360981595092% of 2037.5