38839.88 is what percent of 84.072 - 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 84.072 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 84.072, so we can write it down as 100%=84.072.
4. We know, that x% equals 38839.88 of the output value, so we can write it down as x%=38839.88.
5. Now we have two simple equations:
1) 100%=84.072
2) x%=38839.88
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%=84.072/38839.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38839.88 is what percent of 84.072

100%/x%=84.072/38839.88
(100/x)*x=(84.072/38839.88)*x       - we multiply both sides of the equation by x
100=0.0021645792932419*x       - we divide both sides of the equation by (0.0021645792932419) to get x
100/0.0021645792932419=x
46198.353791988=x
x=46198.353791988

now we have:
38839.88 is 46198.353791988% of 84.072