3852.5 is what percent of 37695 - 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 37695 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 37695, so we can write it down as 100%=37695.
4. We know, that x% equals 3852.5 of the output value, so we can write it down as x%=3852.5.
5. Now we have two simple equations:
1) 100%=37695
2) x%=3852.5
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%=37695/3852.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3852.5 is what percent of 37695

100%/x%=37695/3852.5
(100/x)*x=(37695/3852.5)*x       - we multiply both sides of the equation by x
100=9.7845554834523*x       - we divide both sides of the equation by (9.7845554834523) to get x
100/9.7845554834523=x
10.220188353893=x
x=10.220188353893

now we have:
3852.5 is 10.220188353893% of 37695