388.75 is what percent of 1824.75 - 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 1824.75 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 1824.75, so we can write it down as 100%=1824.75.
4. We know, that x% equals 388.75 of the output value, so we can write it down as x%=388.75.
5. Now we have two simple equations:
1) 100%=1824.75
2) x%=388.75
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%=1824.75/388.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.75 is what percent of 1824.75

100%/x%=1824.75/388.75
(100/x)*x=(1824.75/388.75)*x       - we multiply both sides of the equation by x
100=4.6938906752412*x       - we divide both sides of the equation by (4.6938906752412) to get x
100/4.6938906752412=x
21.304288258666=x
x=21.304288258666

now we have:
388.75 is 21.304288258666% of 1824.75