3830.5 is what percent of 36825 - 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 36825 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 36825, so we can write it down as 100%=36825.
4. We know, that x% equals 3830.5 of the output value, so we can write it down as x%=3830.5.
5. Now we have two simple equations:
1) 100%=36825
2) x%=3830.5
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%=36825/3830.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3830.5 is what percent of 36825

100%/x%=36825/3830.5
(100/x)*x=(36825/3830.5)*x       - we multiply both sides of the equation by x
100=9.6136274637776*x       - we divide both sides of the equation by (9.6136274637776) to get x
100/9.6136274637776=x
10.401900882553=x
x=10.401900882553

now we have:
3830.5 is 10.401900882553% of 36825