7985.4 is what percent of 36875.38 - 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 36875.38 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 36875.38, so we can write it down as 100%=36875.38.
4. We know, that x% equals 7985.4 of the output value, so we can write it down as x%=7985.4.
5. Now we have two simple equations:
1) 100%=36875.38
2) x%=7985.4
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%=36875.38/7985.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7985.4 is what percent of 36875.38

100%/x%=36875.38/7985.4
(100/x)*x=(36875.38/7985.4)*x       - we multiply both sides of the equation by x
100=4.6178500763894*x       - we divide both sides of the equation by (4.6178500763894) to get x
100/4.6178500763894=x
21.655098876269=x
x=21.655098876269

now we have:
7985.4 is 21.655098876269% of 36875.38