7984.28 is what percent of 37015.72 - 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 37015.72 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 37015.72, so we can write it down as 100%=37015.72.
4. We know, that x% equals 7984.28 of the output value, so we can write it down as x%=7984.28.
5. Now we have two simple equations:
1) 100%=37015.72
2) x%=7984.28
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%=37015.72/7984.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7984.28 is what percent of 37015.72

100%/x%=37015.72/7984.28
(100/x)*x=(37015.72/7984.28)*x       - we multiply both sides of the equation by x
100=4.6360748871533*x       - we divide both sides of the equation by (4.6360748871533) to get x
100/4.6360748871533=x
21.569970812401=x
x=21.569970812401

now we have:
7984.28 is 21.569970812401% of 37015.72