9042.98 is what percent of 39758.85 - 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 39758.85 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 39758.85, so we can write it down as 100%=39758.85.
4. We know, that x% equals 9042.98 of the output value, so we can write it down as x%=9042.98.
5. Now we have two simple equations:
1) 100%=39758.85
2) x%=9042.98
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%=39758.85/9042.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9042.98 is what percent of 39758.85

100%/x%=39758.85/9042.98
(100/x)*x=(39758.85/9042.98)*x       - we multiply both sides of the equation by x
100=4.3966535367766*x       - we divide both sides of the equation by (4.3966535367766) to get x
100/4.3966535367766=x
22.744571334432=x
x=22.744571334432

now we have:
9042.98 is 22.744571334432% of 39758.85