104.98 is what percent of 3634.42 - 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 3634.42 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 3634.42, so we can write it down as 100%=3634.42.
4. We know, that x% equals 104.98 of the output value, so we can write it down as x%=104.98.
5. Now we have two simple equations:
1) 100%=3634.42
2) x%=104.98
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%=3634.42/104.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.98 is what percent of 3634.42

100%/x%=3634.42/104.98
(100/x)*x=(3634.42/104.98)*x       - we multiply both sides of the equation by x
100=34.620118117737*x       - we divide both sides of the equation by (34.620118117737) to get x
100/34.620118117737=x
2.8884938999895=x
x=2.8884938999895

now we have:
104.98 is 2.8884938999895% of 3634.42