38.5 is what percent of 824 - 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 824 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 824, so we can write it down as 100%=824.
4. We know, that x% equals 38.5 of the output value, so we can write it down as x%=38.5.
5. Now we have two simple equations:
1) 100%=824
2) x%=38.5
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%=824/38.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.5 is what percent of 824

100%/x%=824/38.5
(100/x)*x=(824/38.5)*x       - we multiply both sides of the equation by x
100=21.402597402597*x       - we divide both sides of the equation by (21.402597402597) to get x
100/21.402597402597=x
4.6723300970874=x
x=4.6723300970874

now we have:
38.5 is 4.6723300970874% of 824