441.94 is what percent of 2748.42 - 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 2748.42 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 2748.42, so we can write it down as 100%=2748.42.
4. We know, that x% equals 441.94 of the output value, so we can write it down as x%=441.94.
5. Now we have two simple equations:
1) 100%=2748.42
2) x%=441.94
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%=2748.42/441.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 441.94 is what percent of 2748.42

100%/x%=2748.42/441.94
(100/x)*x=(2748.42/441.94)*x       - we multiply both sides of the equation by x
100=6.2189890030321*x       - we divide both sides of the equation by (6.2189890030321) to get x
100/6.2189890030321=x
16.079784021365=x
x=16.079784021365

now we have:
441.94 is 16.079784021365% of 2748.42